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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

f (x) = tan^{2} (x), at x = \frac{π}{4}

\frac{sin ( x )}{3 x}

- lo g_{e} (1 - x)

y = 1 cos (2) (x)

e^{t^{2}}

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