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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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