Science:Math Exam Resources/Courses/MATH110/December 2014/Question 04 (b)/Statement

The following limit

$$\lim _{h\to 0}{\frac {{\frac {1}{(2+h)^{2}}}-{\frac {1}{4}}}{h}}$$

equals the derivative ${\textstyle f'(a)}$ for some function ${\textstyle f}$ and some point ${\textstyle a}$.

(b) Evaluate the limit above (without using any differentiation rules).