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Chapter 2: Q 2 (a). (page 237)

Fill in the blanks to complete each of the following theorem statements:

If a function fis differentiable at x=c, then fis at ---------x=c.

Short Answer

Expert verified

continuous

Step by step solution

01

Given Information

The given expression is that functionfis differentiable atx=c.

02

Explanation

A function is differentiable at anu point if and only if limit exists and the function is continuous.

Hence, if a function fis differentiable at x=c, it is also continuous atx=c

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