Question

Fill in the blank. (Note: The notation x → c+ indicates that x approaches c from the right and x → c− indicates that x approaches c from the left. Enter your answer in radians.) As x → 1−, the value of arcsin(x) → _____ .

Answer 1

Answer:

As x approaches 1 from the left, the value of $arcsin(x)$ is $\frac{\pi }{2}$

Step-by-step explanation:

To find the value of $arcsin(x)$ when x approaches 1 from the left, you can use the graph of the function $arcsin(x)$

Examine what happens as x approaches from the left.

As x approaches 1 from the left, the function seems to be approaching $\frac{\pi }{2}$

Therefore, as x approaches 1 from the left, the value of $arcsin(x)$ is $\frac{\pi }{2}$