Show that $e^x > \bigg(1+ \frac xn\bigg)^n $ Show that $$e^x > \bigg(1+ \frac xn\bigg)^n$$
I have thought about logarithmically deriving the sides but I cannot achieve the desired results. 
Is that the correct way to go with this question?

$$\left(\left(1+\frac{x}{n}\right)^n\right)_{n\in \mathbb N}$$ 
is an increasing sequence that converge to $e^x$, the result follow.
