Evaluate: _ x 3 x^ 2 -9 x-3 - Vidyadip

Question

Evaluate:
$\lim\limits _{\text{x} \rightarrow 3}\frac{\text{x}^{2}-9}{\text{x}-3}$

✓

Answer

Given that $\lim\limits_{\text{x} \rightarrow 3}\frac{\text{x}^{2}-9}{\text{x}-3}$
$\Rightarrow\lim\limits_{\text{x} \rightarrow 3}\frac{(\text{x}+3)(\text{x}-3)}{(\text{x}-3)}$
$\Rightarrow\lim\limits_{\text{x} \rightarrow 3}\text{x}+3$
Taking limit, We have
3 + 3 = 6
Hence, the answer is 6.

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