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

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

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

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

\infty

Solution steps

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

For

x

approaching

0

from the right

, x > 0 \Rightarrow x^{\frac{2}{3}} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x^{2} + 3

\int_{0}^{6} 2 π (6 - x) (6 x - x^{2}) d x

\int 3 e^{x} + 2 sin (x) d x

\frac{d}{d x} (\frac{x - 0.5}{( x + 0.5 + i ) ^{2}})

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