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

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

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

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

\infty

Solution steps

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

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

= \infty

x \to π lim (\frac{ln ( cos ( 2 x ) )}{( x - π ) ^{2}})

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

x \to 4 lim (\frac{x + 1}{x - 4})

x \to π lim (15 - sin (x))

x \to 0 lim (2 ln (x))

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