Evaluate the following limit: _ x 0 x^ 2 3 -9 x -27 - Vidyadip

Question

Evaluate the following limit: $\lim\limits_{\text{x}\rightarrow0}\frac{\text{x}^{\frac{2}{3}}-9}{{\text{x}}-27}$

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Answer

$\lim\limits_{\text{x}\rightarrow0}\frac{{\text{x}^{\frac{2}{3}}}-9}{{\text{x}-27}}=\frac{-9}{-27}=\frac{1}{3}$

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