$\lim\limits_{h\to 0}\large\frac{f(2h+2+h^2)-f(2)}{f(h-h^2+1)-f(1)}$
$\Rightarrow \lim\limits_{h\to 0}\large\frac{f'(2h+2+h^2)(2+2h)}{f'(h-h^2+1)(1-2h)}$
$\Rightarrow \large\frac{6\times 2}{4\times 1}$
$\Rightarrow \large\frac{3}{2}$
Hence (c) is the correct answer.