What is the limit as x approaches infinity of 1/x-5 ?

The limit as x approaches infinity of 1/x-5 is -5

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 1/x-5

x \to \infty lim (\frac{1}{x} - 5)

- 5

Solution steps

x \to \infty lim (\frac{1}{x} - 5)

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 (\frac{1}{x}) - x \to \infty lim (5)

x \to \infty lim (\frac{1}{x}) = 0

x \to \infty lim (5) = 5

= 0 - 5

Simplify

= - 5

What is the limit as x approaches infinity of 1/x-5 ?
The limit as x approaches infinity of 1/x-5 is -5