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Cosine Limit

APCALC-VRZ8CV

Find the limit:

$$\lim _{ x\rightarrow \infty }{ \left( \cos\left( \frac { 5x }{ { x }^{ 2 }+7 } +\frac { \pi }{ 3 } \right) \right) } $$

A

$\cfrac{1}{2}$

B

$\cfrac{\sqrt{3}}{2}$

C

$\cfrac { \pi }{ 3 } $

D

The limit does not exist.