Evaluate , given that and…

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

Problem

Evaluate

\lim_{h\to0}\dfrac{f(2h+2+h^2)-f(2)}{f(h-h^2+1)-f(1)}

, given that

f'(2)=6

and

f'(1)=4

. (1) Does not exist (2) Is equal to

-\dfrac{3}{2}

(3) Is equal to

\dfrac{3}{2}

(4) Is equal to

3