You are the MAN! Going back to college as a husband, father, and full time employee is not the easiest thing to do in the world. Thanks for making it easier for me to understand. Now I just have to remember it all to help my son when he starts this math in school. GOD BLESS!
After two entire years of math at this school. It's captivating to find out I finally have one good teacher before the end of my high school years. A good teacher I recognized lectures from his/her standards and not strictly according to the textbook. The worst ones are those who teaches vaguely and assumes that everyone knows as much as they do. And you my friend is a damn fine teacher, just like the one I am currently having right now, thanks for this video.
You just explained in 8 minutes and 41 seconds, what I have NOT been able to grasp for the last 3 hours of struggling with my homework guided by a lousy eText. Thank you so very much!
Thank you for your help sir, I like math but my current math teacher isn't very good at explaining it, I am glad that you do these videos. -James Wolfe
Hey Patrick, I just wanted to say thank you so much for making these videos! You are the only person I can turn to when my professor fails at teaching.
wow, you are the first person to actually explain this to me.. Got through my pre-calc class guessing, and its not even that hard, I wish I had watched this last semester. Thanks a million!
Thank you, all I needed was to be reminded the difference of hole in the graph and vertical asymptote, and I figured it out in the first 30 seconds. This is why I love your videos.
Thank you Patrick. I've been watching your videos to study for my Pre-Calculus test and I found that I've learned more from you in a few hours than I did two weeks from my teacher.
Dude... you are great! You helped me understand my whole pre-calculus chapter in only 20 minutes! Instead of the 2 weeks spent in school. Thank you! :)
Thank you for saving my grade multiple times in my trigonometry class. My current teacher decides to not teach us most days so i get lost very easily on the material. Keep it up bud i love you
I am an A level student taking maths and further-maths and i found your videos really informative, you have made certain topics a lot clearer to me. Thank you very much and keep up the awesome videos :D!
Honestly, thanks so much man. I kind of understood what to do from class, but I didn't really grasp the concept or understood how it worked. This was amazing for making those connections.
I'm having my math midterm tomorrow and this is a LOT of help. I never could get asymptotes x') Your videos are great! Even my friends/classmates watch them. I'll keep watching them -with me going to college next year, I'll be sure to watch them if I need them. Thanks again!
Ok, so I paid UT Arlington for a math class and I get an Asian math teacher who can't speak a lick of english, and I search youtube for help and you taught me my whole semester's work in four hours for my final! Props man, if you need help in any sports related issues, I am a sports writer, let me know.
Thank you so much, you have a way of making it so simple. I think professor have been doing what they do so long, they forget they are teaching it to people who are seeing it for the first time.
Great video thank you for taking the time to help so many people.. 2nd year of college and failing my summer math class test tomorrow and this helps so much I'm looking through all your videos to teach myself what my teacher has trouble explaining
I hate you, you little genius LOL. You have gotten me through countless math 4 problems and now this one. You are a true help too me man you have great explanations so don't stop making these videos its a great help too everyone. As an aspiring Web Designer Math isn't really my field because all I do is type up codes, but this has really helped me understand math better in all aspects so thanks again!
THANKYOU! you helped me finish my math hw that ive spent the last 2 hours trying to understand. you did; not the text book, not the math help website provided by my teacher, not my tutor, YOU...i would die if you were my math teacher!
OMG I've been getting so mad in my math class because my teacher taught us this and I didn't understand it until just now when I saw this video and the one on Horizontal Asymptotes. I took notes and have been looking over them and I'm confident that I will be able to understand the work much easier now, thank you so much!!!!
Patrick for the win i never thought that i can understand calculas untill i start watching ur vedios now im a second year @civil engineers cuz of u thnx alot
Very nice, clear explanation of strategy. These are truly TOTALLY TALL TOWERING ASYMPTOTES. That provides them with some of the awesomeness they actually represent. Not too many math teachers dare to call them TOTALLY TALL TOWERING ASYMPTOTES, but it is respectful.
I was tearing my hairs out of my scalp reading the book and searching online as i couldnt understand anything my teacher taught me. I came across your video, and let's just say, GOD answered my prayers.
@patrickJMT : That makes sense! Instead of approaching infinity or negative infinity, you only keep to the function! And at that particular value, you have undefined. Thanks so much BTW.
i sit in class spacing out confused as hell then i come home, go on youtube and look up your vid, and understand the topic 10x better after watching your 9 minute video than sitting in her class for 45 mins
no, you compare the highest degree in the numerator and denominator. i have a video ' a shortcut to finding horizontal asymptotes ' or something like that, where i show how to quickly find them!
after quadratics my teacher decided to skip the chapter containing this and polynomial functions and move straight to logarithmic functions now i gotta figure this stuff out on my own. thanks for the good video
@MrRzguitario well, the calculus reason is because the limit exists but it is not continuous. it is only zero/zero at that specific point. what happens if you plug in a number close to it, but not equal to the offending value?
You seem like an awesome person that I would enjoy to have as my teacher. Your videos help me out a lot and you explain things so that they are easy to understand.
really wished ure my tutor in real life. so whenever i faced any problem, i can just ask and solve my doubt immediately! so glad that you could share your knowledge via youtube medium! (Y) Thanks a million of all your videos! Helped me in learning before my teacher teaches in class
Thank, Patrick. I have an exam tomorrow and my professor speaks with a very heavy Russian accent and is impossible to understand. Your videos are getting me through freshman math. (:
OMG thanks so much! This video helped so much! And you are right, I was just worried about the denominator that I was not checking if the top equaled zero or not. Good reminder!
Hi Patrick, Great video! But I have a comment on your remark in the beginning. Vertical asymptotes can occur at x = a when f(a) = 0/0 if the multiplicity of a as a zero of the denominator is greater than its multiplicity in the numerator. For example, x^2/x^3 has a vertical asymptotes at x = 0 while x^3/x^2 has a hole there instead. This can be shown using L'Hopital's Rule as 0/0 is an indeterminate form.
OMG thank you soooo much! This really helped me understand asymptotes, finally! I was struggling to get the hang of them and now after watching this i know how to find them, yay! :D You are awesome at this, i wish you were my maths teacher.. i know you would be greaaaaat help! Keep it up =)
You are a great teacher....! Beats mine...! No matter how many times she explained, I was like duh... But once with your video I'm like... What? That's it? She couldn't explain it like this??? Thanks! My final I tomorrow and I think I will be watching all your videos till my final...
I just got to the asymptotes part of my book, and they didn't even mention the the 0/0 part! Boo! But thank you so much for this! Apparently you're better than my book!
Been a while since I have been in school(about 20 yrs)....don't even remember if we did asymptotes in Algebra II or Trig..... Taking the College Algebra on line, now ..yeah....my book might as well have been in Greek...lol..... Great job explaining this and making it simple to understand:)
You are the MAN! Going back to college as a husband, father, and full time employee is not the easiest thing to do in the world. Thanks for making it easier for me to understand. Now I just have to remember it all to help my son when he starts this math in school. GOD BLESS!
You know what? You're awesome, Patrick! I've been using your videoes so much, and you're so much better than my lecturer!
Especially the remark makes my concept clearer. This tutorial helps me a lot. Thx Patrick !
After two entire years of math at this school. It's captivating to find out I finally have one good teacher before the end of my high school years. A good teacher I recognized lectures from his/her standards and not strictly according to the textbook. The worst ones are those who teaches vaguely and assumes that everyone knows as much as they do. And you my friend is a damn fine teacher, just like the one I am currently having right now, thanks for this video.
You just explained in 8 minutes and 41 seconds, what I have NOT been able to grasp for the last 3 hours of struggling with my homework guided by a lousy eText.
Thank you so very much!
You seriously do a great job of teaching how to do something in a language that everybody can understand. Thank you so much!
Thank you for your help sir, I like math but my current math teacher isn't very good at explaining it, I am glad that you do these videos.
-James Wolfe
This really helps me do my advanced math project and study for finals as well!
Hey Patrick, I just wanted to say thank you so much for making these videos! You are the only person I can turn to when my professor fails at teaching.
wow, you are the first person to actually explain this to me.. Got through my pre-calc class guessing, and its not even that hard, I wish I had watched this last semester. Thanks a million!
Ever since this semester started, I've been getting A's and B's on my exam all because of your youtube video. Great job.
Thank you, all I needed was to be reminded the difference of hole in the graph and vertical asymptote, and I figured it out in the first 30 seconds. This is why I love your videos.
I've learned more from you in the past 30 minutes than I have in the past three months in my college Algebra class.
Thank you Patrick. I've been watching your videos to study for my Pre-Calculus test and I found that I've learned more from you in a few hours than I did two weeks from my teacher.
Dude... you are great! You helped me understand my whole pre-calculus chapter in only 20 minutes! Instead of the 2 weeks spent in school. Thank you! :)
Thank you for saving my grade multiple times in my trigonometry class. My current teacher decides to not teach us most days so i get lost very easily on the material. Keep it up bud i love you
I usually don't comment on videos, however, this was an amazing help. Your reminder about the numerator needing to be a non-zero just saved me.
I am an A level student taking maths and further-maths and i found your videos really informative, you have made certain topics a lot clearer to me. Thank you very much and keep up the awesome videos :D!
Honestly, thanks so much man. I kind of understood what to do from class, but I didn't really grasp the concept or understood how it worked. This was amazing for making those connections.
I watched another Vertical Asymptotes video before this and had no idea what the lady was talking about.. Thank you for explaining it so well!
It is unreal how amazing you are at teaching and explaining so clearly. Thank you, appreciate it.
I'm having my math midterm tomorrow and this is a LOT of help. I never could get asymptotes x')
Your videos are great! Even my friends/classmates watch them. I'll keep watching them -with me going to college next year, I'll be sure to watch them if I need them.
Thanks again!
Ok, so I paid UT Arlington for a math class and I get an Asian math teacher who can't speak a lick of english, and I search youtube for help and you taught me my whole semester's work in four hours for my final! Props man, if you need help in any sports related issues, I am a sports writer, let me know.
Excellent video! I was having so much trouble with asymptotes but you explained it in such a way that it finally clicked. Thank you!
Thank you so much, you have a way of making it so simple. I think professor have been doing what they do so long, they forget they are teaching it to people who are seeing it for the first time.
I don't know why "p for Patrick" is funny but I'm cracking myself up. Thanks pat. You're videos are just madly terrific!
Great video thank you for taking the time to help so many people.. 2nd year of college and failing my summer math class test tomorrow and this helps so much I'm looking through all your videos to teach myself what my teacher has trouble explaining
I hate you, you little genius LOL. You have gotten me through countless math 4 problems and now this one. You are a true help too me man you have great explanations so don't stop making these videos its a great help too everyone. As an aspiring Web Designer Math isn't really my field because all I do is type up codes, but this has really helped me understand math better in all aspects so thanks again!
THANKYOU! you helped me finish my math hw that ive spent the last 2 hours trying to understand. you did; not the text book, not the math help website provided by my teacher, not my tutor, YOU...i would die if you were my math teacher!
That amazing feeling when you do it yourself, and get the same answer the professor got in class...thanks! You are GREAT!
OMG I've been getting so mad in my math class because my teacher taught us this and I didn't understand it until just now when I saw this video and the one on Horizontal Asymptotes. I took notes and have been looking over them and I'm confident that I will be able to understand the work much easier now, thank you so much!!!!
Patrick for the win i never thought that i can understand calculas untill i start watching ur vedios now im a second year @civil engineers cuz of u thnx alot
You've done everything my math teacher couldn't. I applaud you.
Very nice, clear explanation of strategy. These are truly TOTALLY TALL TOWERING ASYMPTOTES. That provides them with some of the awesomeness they actually represent. Not too many math teachers dare to call them TOTALLY TALL TOWERING ASYMPTOTES, but it is respectful.
Man your videos are helping me so much through first year uni calculus since the lecturer goes super fast. Thanks a lot!
Thank you for this video. The rest of your videos have helped me tons in my calculus classes as well... THANK YOU!!!
I was tearing my hairs out of my scalp reading the book and searching online as i couldnt understand anything my teacher taught me.
I came across your video, and let's just say, GOD answered my prayers.
Best math teacher Ive ever had. Thanks Patrick!
Im sure you hear this a bunch but thanks alot man!! i would be so lost without your videos!
Why, oh why, is this free 10 minute tutorial teaching me better than the hundreds of dollars I pay for classes.
Thank you!
This was more help than what professor showed us...my goodness 8 minutes of this = 3 lectures
@patrickJMT : That makes sense! Instead of approaching infinity or negative infinity, you only keep to the function! And at that particular value, you have undefined. Thanks so much BTW.
i sit in class spacing out confused as hell then i come home, go on youtube and look up your vid, and understand the topic 10x better after watching your 9 minute video than sitting in her class for 45 mins
Man I thought I was going to have to drop this class until I saw this video, God Bless you man!
no, you compare the highest degree in the numerator and denominator. i have a video ' a shortcut to finding horizontal asymptotes ' or something like that, where i show how to quickly find them!
after quadratics my teacher decided to skip the chapter containing this and polynomial functions and move straight to logarithmic functions now i gotta figure this stuff out on my own. thanks for the good video
Thanks Patrick! You saved me the extra time I'd spend pondering over these problems!
you literally just saved my a percentage of my test grade. thanks so much for the help man!!!!!
thank you so much. please keep making these vidoes! they really help. I have a quiz tomorow, and this video is saving my grade!
you make these topics sound so easy. Great videos Patrick.
@MrRzguitario well, the calculus reason is because the limit exists but it is not continuous. it is only zero/zero at that specific point. what happens if you plug in a number close to it, but not equal to the offending value?
You seem like an awesome person that I would enjoy to have as my teacher. Your videos help me out a lot and you explain things so that they are easy to understand.
@TIffanySkalski glad you like the vids: )
I just want to say your helping me pass my college algebra class with b's and c's you ROCK!!!!,
10/10 TEACHER!!! Missed a lesson today cuz I was sick. You helped me!
Watching this is even 2019 is helpful. Never gets old
Thank you so much! I have a quiz on this stuff tomorrow & I hate going to the math tutoring lab on campus, so this is a big help. Thanks!
really wished ure my tutor in real life. so whenever i faced any problem, i can just ask and solve my doubt immediately! so glad that you could share your knowledge via youtube medium! (Y) Thanks a million of all your videos! Helped me in learning before my teacher teaches in class
Thank you so much, you saved my life. I have a big test tomorow and I didn't understand any of this but now I do!
Man thank you so much for taking your time out to help people like us with bad math teachers
you taught me what my teacher took an hour to talk about, thank you :).
You rock, saved my life! Fingers crossed on my pre-cal exam
thank you so much! im trying really hard not to get behind in precal and these videos really help. youre awesome!
Thank you so much, I have an exam tomorrow about V.A. H.A. S.A. you are a big help.
I learn more from you then an hour from my Asian teacher.
@majormuss well, i just think some are very hard on their teachers : ) glad you like my vids
Thank, Patrick. I have an exam tomorrow and my professor speaks with a very heavy Russian accent and is impossible to understand. Your videos are getting me through freshman math. (:
You are better than my AP Algebra II teacher!!!! thank you i will most definitely subscribe!:)
Thanks, its a lot simplier with ur teaching. I hav a test tomorrow so this helped a lot
i became interested in learning math after watching your vids! your absolutely a math genius! thank you so much!!
OMG thanks so much! This video helped so much! And you are right, I was just worried about the denominator that I was not checking if the top equaled zero or not. Good reminder!
Hi Patrick,
Great video! But I have a comment on your remark in the beginning. Vertical asymptotes can occur at x = a when f(a) = 0/0 if the multiplicity of a as a zero of the denominator is greater than its multiplicity in the numerator. For example, x^2/x^3 has a vertical asymptotes at x = 0 while x^3/x^2 has a hole there instead. This can be shown using L'Hopital's Rule as 0/0 is an indeterminate form.
@jieungreen my pleasure ; ) although i find it hard to believe these boring videos could inspire anyone!
Thanks man! i have a quiz tomorrow and you helped me regain my memory on that part! thank you
because of you i will (not might) pass my calculus course thanks very much!!!!!
You have quite literally saved my life. Thanks so much!
Thanks sir, I watched lots of ur videos and all of them are great!
OMG thank you soooo much! This really helped me understand asymptotes, finally! I was struggling to get the hang of them and now after watching this i know how to find them, yay! :D You are awesome at this, i wish you were my maths teacher.. i know you would be greaaaaat help! Keep it up =)
@flowiepanda just cause the denominator is zero does not mean you have a vertical asymptote
Oh bless you I was so confused in class my teacher teaches kind of quick and has a accent so it's hard for me to keep up...thank you!!
You are a great teacher....! Beats mine...! No matter how many times she explained, I was like duh... But once with your video I'm like... What? That's it? She couldn't explain it like this??? Thanks!
My final I tomorrow and I think I will be watching all your videos till my final...
Very easy to understand, the way you presented it. Thanks for posting.
patrick you are an Amazing teacher, no joke.
I just got to the asymptotes part of my book, and they didn't even mention the the 0/0 part! Boo! But thank you so much for this! Apparently you're better than my book!
Wow this helped so much! I wished I had been watching your videos all term.
this was super duper helpful! thank you :) I understand all asymptotes perfectly now
I love your videos! I use them to review for tests or if i have doubts on homework i don't understand.
wow. who knew it was this easy!!!! My teacher made it seem so difficult. THANK YOU ^^
@jazmiin16 my pleasure!
yeah my teacher made this seemed like we were learning quantum mechanics or something. Thank goodness for this guy.
i was cluesless when i started watching now i know everything thank you so much!
Good video! Final Exam tomorrow with one problem asking for intercepts and asymptotes. Thanks!
@samacoy feel free to come back and watch any time : )
thank you very much, i have a test on this tomorrow, so this was helpful :)
Thank you for all your videos. They help so much!
Been a while since I have been in school(about 20 yrs)....don't even remember if we did asymptotes in Algebra II or Trig..... Taking the College Algebra on line, now ..yeah....my book might as well have been in Greek...lol..... Great job explaining this and making it simple to understand:)
Thank you so much I was very very confused. This is a great help to continue to do well in my calculus one class
WOW thanks so much. Reading my book is so confusing and you make it so easy and simple
Gosh!!! you make math looks so easy! Thank you.
OMg I freaking love you. You might be the reason I pass my algebra 2 finals. lol