Suppose is differentiable at with and

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Suppose

h

is differentiable at

x=2

with

h(2)=3

and

h'(2)=7

. What is

\displaystyle\lim_{x\to2}\frac{h(x)-3}{x-2}

? (a)

0

(b)

7

(c)

\dfrac{1}{7}

(d) The limit does not exist

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