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?

There's something much simpler you can do to both sides, which enables you to express the problem in terms of $x/n$ rather than $x$.
