Mean Value Theorem (Calc 1; Lecture 25; Fall 24)

[@quistian]

This channel has been a great find for me! I really like your engaging style... Cheers...

[@BeardMeetsCalculus]

Thank you.

[@quistian]

@@BeardMeetsCalculus This course brings me back to my 1st year Calculus course at the University of Toronto in 1972. The text we had was by Tom Postol, of Cal. Tech. IIRC. I failed to get the nuanced (at least to me) delta/epsilon proofs, and hence got a tad behind. I did pass, and then did much better on the second term Algebra course. So vexed and haunted by this course, I recall a question on the final exam, from memory and perhaps not complete in its definition but along the lines: f(x) = integral from a to x of g(x) where g(x) is any function defined everywhere for x >= a. Prove that f(x) is continuous for all values of x. Or qualitatively, prove that the integral of any function is a continuous whereas the function itself need not be. I take it that this course does cover delta-epsilon type proofs.