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If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)...

If `sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2` there `0 lt 1xx1ltsqrt2`, then x equals

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