Evaluate the following one sided limits: _ x 0^+ 2 x^ 1 5 . - Vidyadip

Question

Evaluate the following one sided limits:
$\lim\limits_{\text{x}\rightarrow0^+}\frac{2}{\text{x}^{\frac{1}{5}}}.$

✓

Answer

$\lim\limits_{\text{x}\rightarrow0^+}\frac{2}{\text{x}^{\frac{1}{5}}}$
$=\lim\limits_{\text{h}\rightarrow0}\frac{2}{(0+\text{h})^{\frac{1}{5}}}$
$\Rightarrow\frac{2}{0}=\infty$

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