What is the limit as x approaches-infinity of xe^x-1 ?

The limit as x approaches-infinity of xe^x-1 is -1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches-infinity of xe^x-1

x \to - \infty lim (x e^{x} - 1)

- 1

Solution steps

x \to - \infty lim (x e^{x} - 1)

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to - \infty lim (x e^{x}) - x \to - \infty lim (1)

x \to - \infty lim (x e^{x}) = 0

x \to - \infty lim (1) = 1

= 0 - 1

Simplify

= - 1

What is the limit as x approaches-infinity of xe^x-1 ?
The limit as x approaches-infinity of xe^x-1 is -1