Question

5.5. Relation between Continuity and Derivability.
There exists interesting relation between continuity and derivability of
a function. We make the break through in it through the following theorem.
Theorem. A function which is finitely derivable at a point is a real
continuous at that point.
bore
Proof. Let f(x) be finitely derivable at a point r = c.
(0) worla diri
f(a+h)-f(a) f(a+h)-f(a)
.. lim
h =
= f'(a) (finite) (1)
h
TUT
:: lim
11-04
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Answer 1

Answer:

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