What is the limit as x approaches 6-of 1/((x-6)^2) ?

The limit as x approaches 6-of 1/((x-6)^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 6-of 1/((x-6)^2)

x \to 6 - lim (\frac{1}{( x - 6 ) ^{2}})

\infty

Solution steps

x \to 6 - lim (\frac{1}{( x - 6 ) ^{2}})

For

x

approaching

6

from the left

, x < 6 \Rightarrow (x - 6)^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

What is the limit as x approaches 6-of 1/((x-6)^2) ?
The limit as x approaches 6-of 1/((x-6)^2) is infinity