2:58 bro locked in

This man is saving careers with his work

Please make a video about 30 proofs of these multivariable functions. It'd be so valuable ❤🙏

Taking out the y^2 in the denominator, and inserting the x^2, is probably going to confuse people. The thing to remember is, one of the tricks in epsilon-delta is that you can change the expression so that it is reliably as large or larger. At that point you're doing epsilon-delta on a different expression, but because of squeeze proof logic, if that different expression satisfies epsilon-delta, so does the original.

That trick is often used in conjunction with another trick: limiting delta to a narrow domain around the point in question. Sometimes the domain is absolutely arbitrary, in which case a value of 1 is common. Sometimes there is an extremum or singularity you want to avoid, in which case the size of the delta matters.

Beautiful explanation. Thank you very much. Please do more vids on these limits

I was struggling trying to understand this question in my textbook. Thank you so much for explaining it so well 👏🏻

If this is calculus basics, I'd hate to see advanced topics.😂

bprp may you please make a real analysis playlist? You explain proofs better than everyone I know or watch.

why is this unlisted?

thanks bprp because this video has helped me alot.

thank you

man , you are a life saver

5:11 W transition

wounderful explanation.
I'm watching from India.

Thank you so much, now I get it ❤

i would like to see you solve one or two of ramanujan's more complex equations

What a legend

you're a lifesaver!! thanks alot

Thank you. Great teaching.

thanks a lott!!!!i get it now!!💕