What is the limit as x approaches 0-of 8/(5x^{1/5)} ?

The limit as x approaches 0-of 8/(5x^{1/5)} 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 8/(5x^{1/5)}

x \to 0 - lim (\frac{8}{5 x ^{\frac{1}{5}}})

- \infty

Solution steps

x \to 0 - lim (\frac{8}{5 x ^{\frac{1}{5}}})

For

x

approaching

0

from the left

, x < 0 \Rightarrow 5 x^{\frac{1}{5}} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

What is the limit as x approaches 0-of 8/(5x^{1/5)} ?
The limit as x approaches 0-of 8/(5x^{1/5)} is -infinity