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Limits — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLimits1 Mark
Question
Evaluate the following one sided limits: $\lim\limits_{\text{x}\rightarrow0^+}\frac{2}{\text{x}^{\frac{1}{5}}}.$
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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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