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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

\infty

Solution steps

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

For

x

approaching

4

from the right

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

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 0 lim (\frac{2 x + 6}{x})

x \to 3 lim (x^{2} + 5 x - 8)

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

x \to 0 lim (1 + \frac{sin ( x )}{x})

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

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