# Help inequality involving exponential function

How to show that $e^{x} \geq \left (1 + \frac{x}{n} \right) ^{n}$ holds for each non-negative real $x$ and each integer $n \geq 1$ ? I tried series and induction but got stuck. Can you please help?

-
Hint : use, $\exp(y) \geq 1 + y$ for all $y$. – ACARCHAU Nov 4 '10 at 17:27

HINT $\$ Consider $\rm\ e^z\ \ge\ 1 + z,\ \ z\ =\ x/n$

-
Thanks, this works nicely. – student Nov 4 '10 at 18:24