What is the limit as x approaches 0+of x^{-2} ?

The limit as x approaches 0+of x^{-2} is infinity

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^{-2}

x \to 0 + lim (x^{- 2})

\infty

Solution steps

x \to 0 + lim (x^{- 2})

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= x \to 0 + lim (\frac{1}{x ^{2}})

For

x

approaching

0

from the right

, x > 0 \Rightarrow x^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

What is the limit as x approaches 0+of x^{-2} ?
The limit as x approaches 0+of x^{-2} is infinity