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IF sin ^(-1) ""(x-(x^(2))/(2)+(x^(3))/(...

IF ` sin ^(-1) ""(x-(x^(2))/(2)+(x^(3))/(4)-(x^(4))/(8)+…….)=(pi)/(6)` , when ` |x|lt 2` then x =

A

`2/3`

B

`3/2`

C

`-(2)/(3)`

D

`-(3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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