Find the limit.
-$$\lim _ { x \rightarrow / 3 } \sqrt { 5 ^ { 2 } + \sin ( \pi \sec x ) }$$
A) 5
B) 1
C) $\sqrt { 5 ^ { 2 } + 1 }$
D) 0

Question

Quizplus · Accepted Answer

The limit simplifies to $\sqrt{5^2 + \sin(\pi \sec(3))}$. Since $\sin(\pi \sec(3))$ is not defined due to $\sec(3)$ being greater than 1, making $\pi \sec(3)$ not a multiple of $\pi$ where sine would be 0. However, the closest value to this would be when $\sin$ approaches 0, simplifying the expression to $\sqrt{5^2} = 5$.

Find the Limit lim⁡x→/352+sin⁡(πsec⁡x)\lim _ { x \rightarrow / 3 } \sqrt { 5 ^ { 2 } + \sin ( \pi \sec x ) }x→/3lim​52+sin(πsecx)​

Find the Limit $\lim _ { x \rightarrow / 3 } \sqrt { 5 ^ { 2 } + \sin ( \pi \sec x ) }$