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Finding Limits Algebraically

1. Limits and Continuity / Finding Limits Algebraically / Problem 3

Problem 3

Evaluate the limit.
$\displaystyle \lim_{x \to 4}{\frac{1}{x-4}\left(\frac{1}{\sqrt{x+5}}-\frac{1}{3}\right)}$

A

$\frac{1}{27}$

B

$-\frac{1}{48}$

C

$-\frac{1}{36}$

D

$-\frac{1}{54}$

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