Question

The value of $\underset{x\to \frac{\pi }{2}}{lim}\left[si{n}^{-1}sinx\right]$,[x] is the greatest integer function of x, is

• A. 1
• B. $\frac{\pi }{2}$
• C. 0
• D. $\frac{1}{2}$

Answer 1

The correct option is A

1

$\underset{x\to \frac{\pi }{2}}{lim}\left[si{n}^{-1}sinx\right]$
= $\underset{x\to \frac{\pi }{2}}{lim}\left[x\right]$
= 1