Nick M Yeah, Only if those stupid professors stopped using those "Technical Terms" and explained us in "Simple Terms" like this guy did, life would be easier.
Omg! He broke down limits and continuity in 7 minutes and I actually understood it! Prior to this, it has taken me weeks trying to understand but to no avail. Wow!
@blueovaltrucks Thanks! g(x) refers to a "function", and we could have used f(x) or j(x) or h(x) instead, and it wouldn't change anything. The "function" is both algebraic and has a graph, so here you can look at the "graph of g(x)", meaning the graph of the function. Hope that helps!
Phenomenal explanation. I'm currently teaching myself Calculus using "Calculus for dummies". After reading the chapter on Limits and Continuity, and then viewing this video, I'd say I have a good broad understanding on the topic. Thanks
Loved it. !! awesome....another aspect of limits clearly defined and demonstrated,,very thankful for demystifying a hard concept. a5Star job..thanks again !!
the title stays true to its meaning ..this actually the best definition of limits i have seen so far, i learned a lot of things and it cleared out my confusion, thank you!!
@hameed That's a great question! Whether or not a limit exists ALWAYS depends on the x value - whether or not the function is piecewise. As the video says, for CONTINUOUS functions, the limit at any given x value will be = f(x). Piecewise functions can be continuous; the two that we happened to draw in this video were discontinuous, and so that's why the limits DONT exist ONLY at those specific x values. Limits existed on the continuous PARTS of those piecewise function. Hope that helps!
Very VERY much easier to understand then by reading the examples given to you out of my Calculus textbook. The text book just makes everything more complicated and i am unable to have teaching hours because my schedule makes that nearly impossible to meet with my professors. You have my deepest thanks from a football player at University of Texas at Austin for making the first chapters much easier to comprehend.
@blakknwytt Excellent question! There is no y value for x = 3 because there is a hole. If instead it were a smooth curve, then you're right, the y value at 3 would equal 4. A "hole" literally means there is a gap on the function. So when x = 3, there is no y value at all. But when x = 2.99999, there is a y value, 3.99999 (so basically 4). And when x=3.00001, there is a y value, 4.00001 (basically 4). So the limit at x =3 is 4, but at x =3 there's no exact y value because there is a hole
1:07 - so suppose if for y=sqrt(x) when x approach 0 the limit exist. what happens with the limit from the left? or you say that there is no limit for sqrt when x ->0?
You're right, there's no limit for y=sqrt(x) simply from that the function is not continuous to its left, and therefore cannot have a limit inherently. This is only true for R space (with real numbers) however.
THANK YOU SO MUCH FOR THIS VIDEO!!!! Our teacher talks so fast thats why i cant understand her. Kudos to your teaching!!! ❤️ i understand everything now
From the left it definitely approaches 2, but from the right - you have to look at where x=2.01 (or some number a bit to the right of X=2). And there we can see that the Y-Value is actually Y=1. Does that make sense? And the limit is what the Y-Value is.
So do you use limits to graph? Because every video I've seen so far already has the graph, and the limits just describe the discontinuity in the graph. You have to be able to graph with them or else they seem kind of pointless.
@FarFromStandard Thanks it does. I always have problems with the notation and what it means. One more question. At 3:50 you talk about f(3) = DNE will it ever be undefined?
Hey, thanks for the great video! Question: can we really affirm that the limit exists whenever the function is continuous, considering the cases when it goes to infinity and cases such as y = sin(1/x) ?
You mean to tell me I didn’t understand limits because I could not comprehend the concept that: 1. Limits are not restricted to the point actually existing on the function, only if it can be approached from the left and right sides on that function And 2. A one sided limit has nothing to do with whether the point exists in the function, only if it can be approached on the function from the + or - side Fuck. That’s a really dumb reason for me to be failing this class rn. Thank you thank you thank you.
thank you so much! im self tutoring myself with my old edition calc book (so id have less difficulty when i get back to school) an i never got what the lim was... now thanks to you, i do! i wish you could be my tutor!
Well such people seem to get the point across and make difficult concepts easier to understand so I'm not complaining. Also this sort of method of teaching seems to be used in most places around the world like Japan, for instance, which many can agree on being one of the world's hotspots for new and innovative ideas.
you mean the value of f(3) ? In that case i kinda have the same doubt actually wait i got it theres a hole on the graph, which marks a point of discontinuity at that point in which case the f(x) wouldnt exist for tht part of the graph i guess thats wht that Toosh guy meant by the open circle in which case he isnt really a 'dumbass' Anish :/
Why don't professors explain stuff like this? I pay ridiculous tuition just to come home and watch youtube lectures instead.
+Austin Texas we pay all this money to get a piece of paper from the university saying we did the work
They think we know already . LoL
Yah and then when we get to higher level course , they look at us and say "u were suppose to learn this in cal 1".....
Nick M Yeah, Only if those stupid professors stopped using those "Technical Terms" and explained us in "Simple Terms" like this guy did, life would be easier.
yeah ...... very
I love it when he says: "what does that actually mean," and explains it...soooo much clearer
i know right
i really don't understand why teachers explan things in a boring way instead making it interesting like this guy did...thanks
Omg! He broke down limits and continuity in 7 minutes and I actually understood it! Prior to this, it has taken me weeks trying to understand but to no avail. Wow!
It takes minutes understand regardless of who teaches.It is extremely easy.
Musti lmao
Aniket Ghosh Apparantly it wasnt very easy for you if youre on this video
SO clear! thank you!!! I wish i would have seen this back in January when class started...
I feel like I have just been hit by a bolt of Noetic lightning. Thank you!
I just understood this so much better. you taught me in 7 mins what my teacher failed to do in a week THANKS SO MUCH
You’re watching a master at work
Wow ❤️ you explain so clearly
@blueovaltrucks Thanks!
g(x) refers to a "function", and we could have used f(x) or j(x) or h(x) instead, and it wouldn't change anything. The "function" is both algebraic and has a graph, so here you can look at the "graph of g(x)", meaning the graph of the function. Hope that helps!
Im glad that I come here after 12 years
What!! This truly is a good explanation. Thank you!
They say a person really knows a subject when he can explain it clearly, and you sir know this stuff! thanks for your help
This was so helpful. Taking a six week course on calculus 1, it goes so quick, the simplified explanations are much appreciated!
a faithful title of the video.
Phenomenal explanation. I'm currently teaching myself Calculus using "Calculus for dummies". After reading the chapter on Limits and Continuity, and then viewing this video, I'd say I have a good broad understanding on the topic. Thanks
OMG thank you, you have no idea what you have done
Love your explanation. You made it easy and clear.
Why did you stop making videos?
This is the best video I've seen regarding this subject!
Thank you for your help!
It actually makes sense now
Great rohan understood it too quick.!
Loved it. !! awesome....another aspect of limits clearly defined and demonstrated,,very thankful for demystifying a hard concept. a5Star job..thanks again !!
Best explanation ever! Thank you Sir!
the title stays true to its meaning ..this actually the best definition of limits i have seen so far, i learned a lot of things and it cleared out my confusion, thank you!!
I really appreciate you taking the time to make this. Thank you!
Literally best👍
it IS the best explanation of limits and continuity. Thanks.
i learned more in this video than i did in a month of ap calculus. WHAT.
instant sub
Extremely good video! FarFromStandard is saving lives one video at a time!
You did a fantastic job!! Thank you man, I will definitely be checking out more of your videos!
Thank you for this video! I found it super helpful.
This is the best explanation I've ever seen!
Coming back to this video as I start calc b because I remember how much help this was in part a. Very helpful, thank you!
@hameed That's a great question! Whether or not a limit exists ALWAYS depends on the x value - whether or not the function is piecewise. As the video says, for CONTINUOUS functions, the limit at any given x value will be = f(x). Piecewise functions can be continuous; the two that we happened to draw in this video were discontinuous, and so that's why the limits DONT exist ONLY at those specific x values. Limits existed on the continuous PARTS of those piecewise function. Hope that helps!
Very VERY much easier to understand then by reading the examples given to you out of my Calculus textbook. The text book just makes everything more complicated and i am unable to have teaching hours because my schedule makes that nearly impossible to meet with my professors. You have my deepest thanks from a football player at University of Texas at Austin for making the first chapters much easier to comprehend.
@blakknwytt Excellent question! There is no y value for x = 3 because there is a hole. If instead it were a smooth curve, then you're right, the y value at 3 would equal 4. A "hole" literally means there is a gap on the function. So when x = 3, there is no y value at all. But when x = 2.99999, there is a y value, 3.99999 (so basically 4). And when x=3.00001, there is a y value, 4.00001 (basically 4). So the limit at x =3 is 4, but at x =3 there's no exact y value because there is a hole
1:07 - so suppose if for y=sqrt(x) when x approach 0 the limit exist. what happens with the limit from the left? or you say that there is no limit for sqrt when x ->0?
You're right, there's no limit for y=sqrt(x) simply from that the function is not continuous to its left, and therefore cannot have a limit inherently.
This is only true for R space (with real numbers) however.
7 and a half hours worth of lectures vs a 7 minute video- which will educate me best?
UA-cam always wins
LMAOOOOO
7 hour
THANK YOU SO MUCH FOR THIS VIDEO!!!! Our teacher talks so fast thats why i cant understand her. Kudos to your teaching!!! ❤️ i understand everything now
I got more information in 7 minutes, than my professor explained me in 3 hours
You have a gift from God to teach.
This guy is awesome.. God level teacher..😀😀 Loved it man,simply exploded my mind by clearing my concept..
Thank you for the explanation. I was lost before this video.
Thanks! This helped a lot!
2:27 How? The way I see it, the limit approaches 2 from both hand-sides :( or do the two kinds of dots denote the two hand-sides?
From the left it definitely approaches 2, but from the right - you have to look at where x=2.01 (or some number a bit to the right of X=2). And there we can see that the Y-Value is actually Y=1. Does that make sense? And the limit is what the Y-Value is.
Great lecture. Posted this in my calc. discussion forum!
So do you use limits to graph? Because every video I've seen so far already has the graph, and the limits just describe the discontinuity in the graph. You have to be able to graph with them or else they seem kind of pointless.
FINALLY thank you so much
Really a great explanation.....
Meanwhile my professor just does the work with no reasoning. The asks reasoning when we do homework.
well. I have to agree.. this is possibly the best explanation about continuity...
India rules.. cheers from Bogota, Colombia!!
Thank you!
first time I actually learned something in calculus...THANX for the help!!
ill be honest, the video lives up to its title
That was a great explanation! I feel I like I am starting to grasp the limit concept! Thanks so much!
simple & easy way of explaining. Thanks
Pls also visit "er vishal sir" channel he is also great
That is a 3 hour lecture in just 7 min
Great video!!!
Thanks Kevin G! Good to see the Mathletes paid off!
Great video. We watched it in class and my students caught the slight mistake at the beginning and actually helped engage the class. Thanks.
This video was great, keep up the good work...💪💪💪
You are a literal blessing
@FarFromStandard Thanks it does. I always have problems with the notation and what it means. One more question. At 3:50 you talk about f(3) = DNE will it ever be undefined?
So much better at teaching than my math teacher!
i actually learned something from this lol . good work
THIS DUDE JUST SAVED ME MY SCHOOL DOES NOTHING
really help me to undrstand about limit and continuity.. keep up the gud work! :)
Hey, thanks for the great video! Question: can we really affirm that the limit exists whenever the function is continuous, considering the cases when it goes to infinity and cases such as y = sin(1/x) ?
Great Video, explains Limits throughly.
This is a great video, keep up the good work! Calculus is terrific.
Wonderful class
I study at Johns Hopkins and I have to resort to fuckin UA-cam for explainations. And I pay tuition as if I own a dollar press.
Thank you so much bro. I very appreciate it.
You mean to tell me I didn’t understand limits because I could not comprehend the concept that:
1. Limits are not restricted to the point actually existing on the function, only if it can be approached from the left and right sides on that function
And
2. A one sided limit has nothing to do with whether the point exists in the function, only if it can be approached on the function from the + or - side
Fuck. That’s a really dumb reason for me to be failing this class rn. Thank you thank you thank you.
Great and precise explanation!!
thank you so much! im self tutoring myself with my old edition calc book (so id have less difficulty when i get back to school) an i never got what the lim was... now thanks to you, i do! i wish you could be my tutor!
you should tell about continuity more than you did it in this video! Next time i want to see more examples
Thanks !!!
this Indian is a math disciple.
lol
Well such people seem to get the point across and make difficult concepts easier to understand so I'm not complaining. Also this sort of method of teaching seems to be used in most places around the world like Japan, for instance, which many can agree on being one of the world's hotspots for new and innovative ideas.
wow... this lecture is so much helpful!! :D thank you so much!
I am here 1 decade later just to THANK YOU
AHHHHHHHH U HAVE THE VIRUS
@@kenm2595 i am the virus
OMG! THANK YOU SO MUCH! I UNDERSTAND THE LIMITS WONDERFULLY NOW!
With thee AP exam tomorrow, and my teacher's blog not helping, this was very useful
Wow What a amazing video HE just explained the limit in just 7 minutes
I understand it very easily
Great video. Clear and understandable. Keep it up.
This was extremely helpful! I am going to use your videos for my summer AP Calc. assignment.
Best explanation ever. One 💝
Quick question: the function f (x)= [x] where [x] denotes the greatest integer function is continous at?
I need a teacher like you.
Awesome explanation.......if possible can u do one video related to integration?!?! Higher order integrals...!!!
I guess we are united as a human race...why ? I am a student from Poland but I finally get the limits explained from this video.....Tnx a lot
Like your style, dude!
Hey bro, great explanation. Better than any teachers have ever taught me!
thank you very much, you pretty much explained the whole idea behind continuity.
This was Excellent...but what does it mean to say a function is right or left continuous?
Your help is greatly appreciated!
@FarFromStandard THANK YOU!!! that cleared every doubt I had... Hoping to see more stuff from u on calculus
Thank you! This helped me get through my AP Calc hw!
if only they'd teach this in college.. would've saved me a lot of time and confusion
thanks!
Thanks! Very helpful video!
3:52 How can you say the limit doesnt exist for f(3)? the value is 4 not approaching 4
he says the limit exists at f(3) LOL
Because It is open circle
dumbass
Anish Bharadwaj He writes there DNE which i presume means that he limit doesnt exist. But anyways thanks for replying
you mean the value of f(3) ? In that case i kinda have the same doubt
actually wait i got it
theres a hole on the graph, which marks a point of discontinuity at that point
in which case the f(x) wouldnt exist for tht part of the graph
i guess thats wht that Toosh guy meant by the open circle in which case he isnt really a 'dumbass' Anish :/
well thank you for this video...........this really helped very much.........thats fucking awesome when we find an indian guy teaching the whole world