What is the limit as x approaches 0 of x^{-1}-1 ?

The limit as x approaches 0 of x^{-1}-1 is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0 of x^{-1}-1

x \to 0 lim (x^{- 1} - 1)

diverges

Solution steps

x \to 0 lim (x^{- 1} - 1)

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (x^{- 1} - 1) = \infty

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

= diverges

What is the limit as x approaches 0 of x^{-1}-1 ?
The limit as x approaches 0 of x^{-1}-1 is diverges