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Question: definition of differentiable a function fab is differentiable at x...

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Definition of differentiable: A function f:(a,b)ightarrow mathbb{R} is differentiable at x (a, b) iff the limit lim as z ightarrow x of f (z)- f(r exists. Please let me know if you have any questions.
4-8 Prove that f : (a, b) → R is differentiable at x E (a, b) iff the limit lím h→0 th)exists f (x +h)-f (x) and that in this case f(x) = lim h-+0

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