lim-x-1-2-x-x-

Question Number 175765 by sciencestudent last updated on 06/Sep/22

l i \underset{x \to \infty}{m} {(1 + \frac{2}{x})}^{- x} = ?

Answered by Ar Brandon last updated on 06/Sep/22

\lim_{x \to \infty} {(1 + \frac{2}{x})}^{- x}

= \lim_{x \to \infty} {({(1 + \frac{2}{x})}^{\frac{x}{2}})}^{- 2} = e^{- 2} = \frac{1}{e^{2}}