# E^x greater than 1+x^n/n! for n greater than 0 and nonzero real x greater than 0

The following formula holds for $n>0$ and nonzero $x \in \mathbb{R}$ with $x>0$: $$e^x > 1 + \dfrac{x^n}{n!},$$ where $e^x$ denotes the exponential.