patrick, you make calculus so easy it's stupid. Whenever I need practice problems when I feel unconfident, I just go to your videos and practice. I just wanna kiss you irl man, even tho i'm a guy. I'm gonna ask my parents to support you on patreon man i love you dawg no homo
The way you broke this down was much better than how I was taught. You explained it in a way I could understand, and now I feel confident in ace-ing my test tomorrow. I only got 46% on my first try, and luckily I have a chance at a retest tomorrow. 100% here I come!
"Hurrdurr better than DrUmPhhhh" Political parties are like an absolute value function: They only give the illusion of a different result. They work together to the same ends. ;)
Yes! I am literally doing, nearly, the exact problem (with limits), and couldn't remember if you could simplify that rational equal to |1|/1 or if you had to do something different. Thank you for making this!
I learned at school that the limit of IxI existed only in right and left hand limit form. Thanks to your explanation, now I know the reason for it. Your videos are always valuable for those who seek mathematical knowledge.
For the last problem, the textbook (Stewart, Early Transcendentals, 7th edition) says limit does not exist. (problem nr 45, chapter 2.3 ). They say it doesn't exist, because the denominator cannot go to zero while the nominator does not. But when I graph it with wolfram, it does go to negative infinity. My math tutor says that it doesn't exist because the items in the bracket cancel out each other. Why is the inconsistency?
I've been watching you since I started Algebra II Honors Freshman year. I'm glad I came across your youtube, because of you, I make excellent math grades. Thank you so much & Keep up the good work! (:
Greetings!! Your videos have been so helpful and I was wondering if you could address the following problem: lim 2x-1/2x^3-x^2 x->0.5^- (from the left) the book solves it by first solving l2x-1l setting it to 2x-1 > or equal to 0 and 2x-1
oh my god! I think you just saved me for my calculus final on thursday....my professor is convinced we should have learned this in high school and would not explain how to solve an absolute value to me, even when i asked. My high school teacher must have been slacking because I've never seen this before!! THANK YOU!
You know, I used to think the educational system was in shambles up until college, where dedicated professors built up the intellectual integrity of the individual. BULLSHIT. I'm in college and PatrickJMT has succeeded where teachers who are paid handsomely have failed. And IT'S FREE. Thank you, you've saved me from failing my finals :)
I literally screamed when it hit me that the first example would equal "does not exist", when you began evaluting the limit from both sides. I didn't know math could make me do that.
Thank you very much for this free tutoring!!! Its a good refresher and slightly more descriptive than I learned in class. I always thought of the sign function for absolute values but never related 'x' as the function in the absolute value tern, this insight has helped immensely. Thank you and keep it up!!
Oh my gosh your videos help me out so much especially in calculus (since I'm not the greatest at math).. thank you so much for explaining it in simple terms!
You are just AWESOME!!! I don't know why I found you out at the end of semester... When I'm done with everything except for final...anyway... thanks!!!
So my calculus book by Stewart has the problem you go over at the 7 minute mark as #45 in 1.6. And it said the answer was DNE even though it was asking for the limit of 0 from the left exactly how you have it. Very odd! I knew it was negative infinity! Thanks for making me not feel crazy.
well, if the solution is either + or - infinity, you can say that the limit DNE since it does not exist as a finite number. it is correct to say DNE although i encouraged people to use + or - infinity since it is more descriptive as to what is actually happening.
I did badly in my courseworks once and your videos helped me to cover up alot during the finals and help me pass them. You should be knighted, like seriously.
In The Last Problem when we apply 1/x - 1/x it becomes 0/x bcz common denominator is x and 1 - 1 becomes 0. So we have to graph for 0/x instead of 1/x with lim x->0+ it will always result in zero for any x we plug in . Remaining things r correct.
Wow! thank you so much! I am learning more here than in the classroom. I will be viewing your videos on calculus as I continue the class. Keep up the good work!
Because the right and left limits aren't equal in the first example, doesn't that also mean that the function isn't differentiable in x=1 (so by definition that function isn't differentiable)
![Limit of absolute value functions [ lim |x^3 - x|/(x^3 - |x|) as x goes to 0 ]](/img/n.gif)
11 years ago I was 4, never expected that a video made when i was 4 could help me in my Calculus class later on :D
Bro you 15 doing calculus 😂
another 15 year old doing calc nice
What is the title of your math book that you are reading this year in school?
Me too 😂
Bruh I was 4 in 2009 too, lol. And here I am 12 years later, watching calculus videos.
You're a math wizard, very clear, very expressive, and you make us love math!! I'm EXTREMELY grateful to you Mr. Patrick
patrick, you make calculus so easy it's stupid. Whenever I need practice problems when I feel unconfident, I just go to your videos and practice. I just wanna kiss you irl man, even tho i'm a guy. I'm gonna ask my parents to support you on patreon man i love you dawg no homo
do you still stand by this
@@matthewanderson1916 i have to know too
William my man did you hit?
At 9:41 "Two over x. That's just gonna be a shit- or a-a-stretch."
I died.
13 years later and it still is a fantastic video, thanks man!
Make that 14 years,
But who is differentiating
The way you broke this down was much better than how I was taught. You explained it in a way I could understand, and now I feel confident in ace-ing my test tomorrow. I only got 46% on my first try, and luckily I have a chance at a retest tomorrow. 100% here I come!
Thank you so much Pat, I started my Calc class 3 weeks late and your videos REALLY helped me catch up on things.
wonderful! glad they helped. please spread the word!
PatrickJMT for President. There, I said it. #PatrickJMT2016
Better than trump
PatrickJMt will run the government with mathematical logic and function; pure governance!
"Hurrdurr better than DrUmPhhhh"
Political parties are like an absolute value function: They only give the illusion of a different result. They work together to the same ends. ;)
Yes! I am literally doing, nearly, the exact problem (with limits), and couldn't remember if you could simplify that rational equal to |1|/1 or if you had to do something different. Thank you for making this!
I learned at school that the limit of IxI existed only in right and left hand limit form. Thanks to your explanation, now I know the reason for it.
Your videos are always valuable for those who seek mathematical knowledge.
For the last problem, the textbook (Stewart, Early Transcendentals, 7th edition) says limit does not exist. (problem nr 45, chapter 2.3 ). They say it doesn't exist, because the denominator cannot go to zero while the nominator does not. But when I graph it with wolfram, it does go to negative infinity. My math tutor says that it doesn't exist because the items in the bracket cancel out each other. Why is the inconsistency?
@@chiragkx IT HELPS ME THANKS
@TheMimi1984 dne means it does not exist as a finite number. infinity is more descriptive than to say dne.
why am I so bad at calculus
0goodvibes0 did you pass? Because I know I won't
It's just a matter of setting a focus goal
Hassan Shahzad exactly
0goodvibes0 omg this still stands correct to this day...
because its entirely useless. Engineers don't even use it
this was a work of art
Dang the internet is amazing. I don't think I could ever have an excuse to not learn something. Thanks for the help. You're a hero.
damn! this was exactly one of my homework problems! thank you so much, I not only got the answer right, but I learned how to get it correct. Thanks.
How's your homework
Wow you made it so easy thanks, you helped me more than my teacher who keeps rushing every lecture we have.
Thank you, I would't be able to make it through my online calc class without your tutorials.
I've been watching you since I started Algebra II Honors Freshman year. I'm glad I came across your youtube, because of you, I make excellent math grades. Thank you so much & Keep up the good work! (:
From the bottom of my heart, thank you for helping me understand absolute value limits, my teacher is so ass and you actually explained it perfectly
You are my hero when it comes to calculus! Don't stop making videos.
if the left hand limit and right hand limit are not the same, the limit does not exist. a limit can not have two different values.
Greetings!! Your videos have been so helpful and I was wondering if you could address the following problem:
lim 2x-1/2x^3-x^2
x->0.5^- (from the left)
the book solves it by first solving l2x-1l setting it to 2x-1 > or equal to 0 and 2x-1
11 years later and you still help
I just learned what my teacher was trying to teach in a whole class in 10 mins. I love you
glad i could help, come back any time! :)
@patrickJMT Then the world has lost a great math professor. You're a brilliant teacher. Thanks!!!
Thank you so much Patrick for your passion for math and your time. Keep it up you are very special!! God bless u
I love how I can low key see your reflection in the white board :P
oh my god! I think you just saved me for my calculus final on thursday....my professor is convinced we should have learned this in high school and would not explain how to solve an absolute value to me, even when i asked. My high school teacher must have been slacking because I've never seen this before!! THANK YOU!
Very helpful! I couldn't understand the adding the -1 part until I saw your video!
OMG! dude. ur a life saver.
i have a calculus exam tomorrow and you came up.
@vip0IR no, it does not mean that at all. it just depend on the functions
Just wanted to say thank you for creating a very helpful video to anyone who struggled to understand absolute value in limits.
Felt relieved after seeing this video because now i understood more clearly. Thank you man!
You know, I used to think the educational system was in shambles up until college, where dedicated professors built up the intellectual integrity of the individual. BULLSHIT. I'm in college and PatrickJMT has succeeded where teachers who are paid handsomely have failed. And IT'S FREE. Thank you, you've saved me from failing my finals :)
Yoooow, Patrick, it's 2021 and I'm here watching your video. Thank youuuu sooo sooo muuuuch. ❤🇵🇭
helped me so much! i've got a calc 1 test today. i feel better now!
I literally screamed when it hit me that the first example would equal "does not exist", when you began evaluting the limit from both sides.
I didn't know math could make me do that.
Thank you very much for this free tutoring!!! Its a good refresher and slightly more descriptive than I learned in class. I always thought of the sign function for absolute values but never related 'x' as the function in the absolute value tern, this insight has helped immensely. Thank you and keep it up!!
you're math videos make me love math like back in middle school days...cant find IVT theorem and Squeeze theorem stuff though.
I love you so much! I could not get this at all in class but totally made sense how you explained it. Thank you so much!
Man, you rock! This video is well made and explains exactly what I needed to know.
(plays air guitar)
I was struggling with this concept and found you through a Google search. Thanks for clearing this up for me, I feel much better now!
Thank you
I am from Iraq
I love you
Thanks for holding my hand through Calculus Patrick.
Oh my gosh your videos help me out so much especially in calculus (since I'm not the greatest at math).. thank you so much for explaining it in simple terms!
thank you for being a little bit more thorough :) Ive been confused with this for a while
I didn't get it when my teacher tried to talk about it, but you made it so much more clear. Thank You.
yep, and very very useful!
your videos saved my life thank you
You are soo perfect as a teacher your students are the luckiest
You saved my Calculus grade. Thank you!
Don't stop making these videos! You help a LOT of people!!
This video answered so many questions. Thank you so much
you are such an angel dude keep posting great explanations and more complicated examples
You are just AWESOME!!! I don't know why I found you out at the end of semester... When I'm done with everything except for final...anyway... thanks!!!
So my calculus book by Stewart has the problem you go over at the 7 minute mark as #45 in 1.6. And it said the answer was DNE even though it was asking for the limit of 0 from the left exactly how you have it. Very odd! I knew it was negative infinity! Thanks for making me not feel crazy.
well, if the solution is either + or - infinity, you can say that the limit DNE since it does not exist as a finite number. it is correct to say DNE although i encouraged people to use + or - infinity since it is more descriptive as to what is actually happening.
thank you for your help i was really lost on the absolute value and now i know where to come whn i am lost
these videos are helping me pass calculus THANK YOU!
I did badly in my courseworks once and your videos helped me to cover up alot during the finals and help me pass them. You should be knighted, like seriously.
Thank you so much for making it a lot less complicated.
The second problem you did was the same exact problem I was stuck on. Thank you so much. I definitely understood it!
I've been watching your videos to study for my AP exam. Thank you SO much. This really really helps. Keep it up. :D
Thanks, i just started limits and this helped me a ton!
Thank you! My calc professor just writes down equations without explaining the intermediate steps of those equations.
Thank you so much! Still helping me out 4,675 days later
I'm studying advanced math
Your video is very helpful, easy to understand
Thanks a lot.
In The Last Problem when we apply 1/x - 1/x it becomes 0/x bcz common denominator is x and 1 - 1 becomes 0. So we have to graph for 0/x instead of 1/x with lim x->0+ it will always result in zero for any x we plug in
. Remaining things r correct.
@orton220 glad you liked this. you may also check out the playlists if you are interested
Thanks a lot from 2009 until 2018!
differentiation is the process by which we obtain a derivative
Thank you very much for putting some clarity on the absolute value limit situation. As usual thank you for your dedication.
I've been tutoring math for years and students seem to understand me but you are in another league
thanks! :)
Muito obrigado! Thank u so much! I didn't find no brazilian video about this case of limit.
thanks a lot patrick this was really easy to understand God bless you
on the internet, everyone hates everything if it is not 100% what the agree with or want to see/hear.
It took me just 10 mins 11 seconds to understand what I couldn't figure out in two years 😂🙌🙌 thank you Patrick
YOU ARE MY SAVIOORR!!!!! MY CALC TEACHER DOESN'T TEACH THAT WAYYY!!!! THANK YOU SOOO MUUCCHH!!! 😍😍😍🙂🙂🙂☺☺☺😄😄😄😄😃😃😃
Thanks! That was helpful.
Wow! thank you so much! I am learning more here than in the classroom. I will be viewing your videos on calculus as I continue the class. Keep up the good work!
one of the very few videos i genuinely like, and favorite!!
thanks ur examples make me hopfully about limits expecial absolute value limits
Oh thank you for explaining Piecewise part
Bless you man. Got my paper in 1 hr and i didnt know anythin about limits of absolute value functions. Untill i came here mwuahahaha
Thank you so much for this video, it really clarified everything my teacher was trying to teach.
This was so helpful! You're a great teacher. Thank you so much!
@Alexhauser23 you all are the future. get involved, don't be onlookers! that is how the world changes.
u should suggest that to your prof.
you just saved my butt on my test, thanks man
I can honestly say that I love you man.
thanks man..your videos will certainly make me pass first year of civil engineering
Because the right and left limits aren't equal in the first example, doesn't that also mean that the function isn't differentiable in x=1 (so by definition that function isn't differentiable)
great explanation...i always stuck at doing this kind of limit..
You did something my lazy teacher would never....thanks a lot
best math teacher ever !
superb teaching
awesome videos man, good review for my final exam tomorrow!
@iluvbigbootie i am not making it equal two different values, i am simply rewriting it as a piecewise function
THANKS PAT, limits test tomorrow!