How to evaluate the limit $\lim_{h \to 0} \frac{e^{2+h}-e^2}h$? $$ {\lim \limits_{h \to 0}} { {e^{2+h}-e^2 } \over {h} }  $$
Due to time constraints, evaluating limits with e in them wasn't covered and I have this on the AP exam review. How do I proceed?

Hint. One may recall that for a differentiable function around $x_o$ we have 
$$
\frac{f(x_0+h)-f(x_0) }{h} \to f'(x_0),\quad h\to 0.
$$ Apply it to $f(x)=e^x$.
