What is the limit as x approaches 0+of 2/(x^{1/3)} ?

The limit as x approaches 0+of 2/(x^{1/3)} is infinity

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limit as x approaches 0+of 2/(x^{1/3)}

x \to 0 + lim (\frac{2}{x ^{\frac{1}{3}}})

\infty

Solution steps

x \to 0 + lim (\frac{2}{x ^{\frac{1}{3}}})

For

x

approaching

0

from the right

, x > 0 \Rightarrow x^{\frac{1}{3}} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

What is the limit as x approaches 0+of 2/(x^{1/3)} ?
The limit as x approaches 0+of 2/(x^{1/3)} is infinity