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

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

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

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

\infty

Solution steps

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

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{x ^{\frac{1}{3}}}{x}) = \infty

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

= \infty

x \to - 6 lim (\frac{2}{4 x + 10})

x \to 0 lim (ln (x) ln (x + 1))

x \to - 2 lim (x^{3} - 4 x^{2} + 6 x)

x \to 5 lim (x^{2} - x + 12)

n \to \infty lim (\frac{cos ( n x )}{n ^{2}})

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