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

The following limit $$\underset{h\to 0}{\lim }\frac{\frac{1}{(2+h{)}^2}-\frac{1}{4}}{h}$$ equals the derivative $f^{\prime }(a)$ for some function $f$ and some point $a$.

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