APFIVE Evaluating an Indeterminate Form Limit
Evaluate $$\lim_{x\to 2} \frac{(x-2)\sqrt{2x+3}+\left(\frac{1}{x+2}-\frac{1}{4}\right)}{(x-2)\left(\sqrt{x+5}-\sqrt{7}\right)}$$
A
$$2+\frac{\sqrt{7}}{32}$$
B
$$2+\frac{\sqrt{7}}{16}$$
C
$$\frac{64+2\sqrt{7}}{32}$$
D
$$\frac{64+\sqrt{7}}{16}$$
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