The value of limx→π2[sin−1sinx],[x] is the

Question -

The value of $lim x \to \frac{π}{2} [s i n^{- 1} s i n x]$ ,[x] is the greatest integer function of x, is

Options:

A . 1

B .

\frac{π}{2}

C . 0

D .

\frac{1}{2}

Answer: Option A
:
A

$lim x \to \frac{π}{2} [s i n^{- 1} s i n x]$
= $lim x \to \frac{π}{2} [x]$
= 1

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