Evaluate the following limit: _ x 0 x+8 x - Vidyadip

Question

Evaluate the following limit: $\lim\limits_{\text{x}\rightarrow0}\frac{\sqrt{\text{x}+8}}{\sqrt{\text{x}}}$

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Answer

$\lim\limits_{\text{x}\rightarrow0}\frac{\sqrt{\text{x}+8}}{\sqrt{\text{x}}}=\frac{\sqrt{(1+8)}}{\sqrt{1}}=\sqrt{9}=3$

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