If $f(5) = 7$ and $f^{'}(5) = 7$, then $\lim_{x \rightarrow 5}\frac{xf(5) - 5f(x)}{x - 5}$ is given by

Question

Dr. Abubacker · Accepted Answer

(d)
$\lim_{x \rightarrow 5}\frac{xf(5) - 5f(x)}{x - 5}$
$= \lim_{x \rightarrow 5}\frac{f(5) - 5f'(x)}{1 - 0} = f(5) - 5f^{'}(5)$
$= 7 - 5.7 = 7 - 35 = - 28$

Q. If $f(5) = 7$ and $f^{'}(5) = 7$, then $\lim_{x \rightarrow 5}\frac{xf(5) - 5f(x)}{x - 5}$ is given by

Explanation

Reviewed by Dr. Abubacker

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