Find the limit.
-$$\lim _ { x \rightarrow \infty } \sec ^ { - 1 } x$$
A) $\infty$
B) 0
C) $- \frac { \pi } { 2 }$
D) $\frac { \pi } { 2 }$

Question

Find the limit.
-$$\lim _ { x \rightarrow \infty } \sec ^ { - 1 } x$$
A)  $\infty$
B) 0
C) $- \frac { \pi } { 2 }$
D) $\frac { \pi } { 2 }$

Quizplus · Accepted Answer

The secant inverse function, $\sec^{-1}x$, approaches $\frac{\pi}{2}$ as $x$ approaches infinity. This is because the secant function approaches infinity as the angle approaches $\frac{\pi}{2}$ from the left in its domain.

Find the Limit lim⁡x→∞sec⁡−1x\lim _ { x \rightarrow \infty } \sec ^ { - 1 } xx→∞lim​sec−1x

Find the Limit $\lim _ { x \rightarrow \infty } \sec ^ { - 1 } x$