What is the limit as x approaches-2-of 1/(x^2-4) ?

The limit as x approaches-2-of 1/(x^2-4) 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-2-of 1/(x^2-4)

x \to - 2 - lim (\frac{1}{x ^{2} - 4})

\infty

Solution steps

x \to - 2 - lim (\frac{1}{x ^{2} - 4})

For

x

approaching

- 2

from the left

, x < - 2 \Rightarrow x^{2} - 4 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

What is the limit as x approaches-2-of 1/(x^2-4) ?
The limit as x approaches-2-of 1/(x^2-4) is infinity