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

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

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

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

\infty

Solution steps

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

For

x

approaching

0

from the right

, x > 0 \Rightarrow x^{\frac{2}{3}} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

h \to 0 - lim (\frac{6 - 5 h ^{2} + 11 h + 6}{h})

x \to 5 lim (\frac{x ^{2}}{2 x - 3})

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

x \to 3 - lim (∣ 4 x ∣ - 3 x)

x \to 3 lim ([x] + [4 - x])

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