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}}})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{1}{x ^{\frac{2}{3}}}) = \infty

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

= \infty

\frac{d}{d s} (ln (s^{2} + 1))

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

x \to 0 lim (cos (\frac{π}{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