Find the Limit (If It Exists) $\lim _ { x \rightarrow \pi / 2 } \frac { 4 ( \cos x - 1 ) } { \sin x }$

Multiple Choice

Find the limit (if it exists) . $\lim _ { x \rightarrow \pi / 2 } \frac { 4 ( \cos x - 1 ) } { \sin x }$

A) $\lim _ { x \rightarrow \pi / 2 } \frac { 4 ( \cos x - 1 ) } { \sin x } = - 16$
B) $\lim _ { x \rightarrow \pi / 2 } \frac { 4 ( \cos x - 1 ) } { \sin x } = - 4$
C) $\lim _ { x \rightarrow \pi / 2 } \frac { 4 ( \cos x - 1 ) } { \sin x } = 20$
D) $\lim _ { x \rightarrow \pi / 2 } \frac { 4 ( \cos x - 1 ) } { \sin x } = 16$
E) $\lim _ { x \rightarrow \pi / 2 } \frac { 4 ( \cos x - 1 ) } { \sin x } = 4$