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Limit of the function x^(-2/3)

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      1  
 lim ----
x->oo 2/3
     x

\lim_{x \to \infty} \frac{1}{x^{\frac{2}{3}}}

Limit(x^(-2/3), x, oo, dir='-')

Lopital's rule

There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type

The graph

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Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty} \frac{1}{x^{\frac{2}{3}}} = 0

\lim_{x \to 0^-} \frac{1}{x^{\frac{2}{3}}} = - \infty \sqrt[3]{-1}

\lim_{x \to 0^+} \frac{1}{x^{\frac{2}{3}}} = \infty

\lim_{x \to 1^-} \frac{1}{x^{\frac{2}{3}}} = 1

\lim_{x \to 1^+} \frac{1}{x^{\frac{2}{3}}} = 1

\lim_{x \to -\infty} \frac{1}{x^{\frac{2}{3}}} = 0

Rapid solution [src]

0

Expand and simplify

The graph