- #1
werty32
- 1
- 0
Homework Statement
Show that if F is an antiderivative of f on [a,b] and c is in (a,b), then f cannot have a jump or removable discontinuity at c. Hint: assume that it does and show that either F'(c) does not exist or F'(c) does not equal f(c).
2. The attempt at a solution
I attempted a proof by contradiction where I said that for the sake of contradiction we should let f have a discontinuity at point c, and I would like to use this to prove that F'(c) doesn't exist, but I'm not quite sure how a discontinuity on f affects F given that f is the derivative of F.