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If sin^-1 (x- x^2/2+x^3/4+x^4/8+…) = pi/...

If `sin^-1 (x- x^2/2+x^3/4+x^4/8+…) = pi/6,` where `|x|lt2` then the value of x is (A) `2/3` (B) `3/2` (C) `-2/3` (D) `-3/2`

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