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Question Number 164783 by mkam last updated on 21/Jan/22

Answered by Mathspace last updated on 21/Jan/22

$$={lim}_{x\to 3}\frac{f\left(x\right)-f\left(3\right)}{x-3}\times \frac{x-3}{(x-3)(x+3)}$$$$={lim}_{x\to 3}\frac{f\left(x\right)-f\left(3\right)}{x-3}\times {lim}_{x\to 3}\frac{1}{x+3}$$$$=\frac{1}{6}{f}^{{}^{\prime }}\left(3\right)$$

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