Introduction to limits | Limits | Differential Calculus | Khan Academy

Introduction to limits

Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.

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[Jack-gufc]

I've already learned this like 8 years ago, my job doesn't even require math. I just came here to watch a legend

[RajSankla]

Me: I'm failing calculus
Sal: I'm gonna stop you right there

[willr]

Your parabolas are beautiful, don't let ANYBODY tell you otherwise.

[statixc]

I haven't done advanced math since I left college. This is incredibly clear. My professors never made it this clear. Keep it up.

[darkscienceyt]

I'm so happy that I finished college and dont have to watch these videos anymore...

[jameserayburn]

I really enjoy a good refresher. My grandmother was a high school teacher for 43 years, so I know that it takes a great person to be a great teacher, and Mr. Khan is one of those few great teachers.

[wolfieswifty]

You are a hero! I have a quiz tomorrow on functions, limits, and derivatives and I knew nothing! At least now I know the basics. Thank you so much.

[ahmde]

Mind officially blown from the quality of this explanation.

[AcademiaVasquez]

Khan, can you please let me know what software you are using? I'm pretty sure it's not SmoothDraw anymore (since I use that myself). I am redoing your vids in Spanish. Thanks!

[dd]

when you don't even understand khan academy, you know all hope it's lost 😭😭😭😭

[DrTNTyt]

It is hard to learn about limits because my internet connection is limited

[strangelilmei]

Taking AP Calc AB this year. I'm absolutely terrified... but Khan Academy is truly a blessing and makes me feel more confident. <333

[jacewilder]

im a junior this year and learned basically nothing my sophmore year so im spending my summer watching your channel and actually oddly enjoying actually understanding math and pre calculus

[verabh]

I find it so helpful how these videos don't have fluff in the beginning and end, they just get straight to the point and don't waste any of your time.

[zraffens]

Nobody:
Sal: Let me write it in a different color.

[thenewpogchamp]

Khan your a lucky guy. There are probably girls that are in love with you just because of your awesome teaching style and your voice.

[ernestopanza]

Thanks. I'm a fetus, and this helps a lot!

[agustdel]

we need to understand that we are equally as capable of understanding something as our teachers but for knowledge to be transferred whole from one mind to the other, perfect communication is the key

[cloudhair]

I have a maths exam in 4 days and this really helped me understand limits, part of what my teacher calls: 'conceptual understanding' and expects us to know. Thank you so so so much.

[williamj.stockich]

Calculus students don’t fret if you don’t grasp limits. They are only proofs that calculus is valid.  Unless you are a mathematics major, you will only encounter limits superficially in other scientific courses.  What you are being taught now was not developed until the 1880s.  This means that all the progress with calculus from the time of Newton and Leibniz in the 1680s was achieved without any satisfactory validating proofs as to why calculus worked.  Derivatives can be achieved according to a set of rules; integrals have fewer useful rules; limits have no rules.  Each limit problem requires a different approach, and examples provided are usually too simple to help.  When you reach the point of not knowing how to
proceed, you are in a pool of millions. Don't get discouraged, the rest of calculus is much easier to understand.