# $\displaystyle \large \lim_{x \,\to\, 0}{\normalsize \dfrac{e^{\displaystyle \normalsize x}-1}{x}}$ Rule

## Formula

$\displaystyle \large \lim_{x \,\to\, 0}{\normalsize \dfrac{e^{\displaystyle \normalsize x}-1}{x}} \,=\, 1$

### Proof

Learn how to prove the limit of quotient of subtraction one from natural exponential function by the variable as the variable approaches zero, is equal to one in calculus.