Find-the-lim-x-e-x-e-2x-1-

Question Number 25221 by chernoaguero@gmail.com last updated on 06/Dec/17

Find the \lim_{x \to \infty} \frac{e^{x}}{\sqrt{e^{2 x} + 1}}

Answered by jota+ last updated on 06/Dec/17

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

= \lim_{x \to \infty} \frac{1}{\sqrt{1 + 1 / e^{2 x}}} = 1

Commented by chernoaguero@gmail.com last updated on 06/Dec/17

plzz show working

Commented by prakash jain last updated on 06/Dec/17

Divide numerator and denominator

by e^{x}

Commented by chernoaguero@gmail.com last updated on 07/Dec/17

Thank you i have seen it now