Question

The value of $\underset{x\to 1}{lim}\left[sinsi{n}^{-1}x\right]$ is

• A. 1
• B. does not exist
• C. $\frac{\pi }{2}$
• D. 0

Answer 1

The correct option is A

1

Since x→1 means x→1^-, ∵ sin^-1 x is not defined for x>1
$\underset{x\to 1}{lim}\left[sinsi{n}^{-1}x\right]=\underset{x\to 1^{-}}{lim}\left[sinsi{n}^{-1}x\right]=1$