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If sin^(-1)(x-(x^(2))/(3)+(x^(3))/(9)---...

If `sin^(-1)(x-(x^(2))/(3)+(x^(3))/(9)---)+cos^(-1)(x^(2)+(x^(3))/(3)+(x^(4))/(9)----)=(pi)/(2)` where `0<|x|<3,` then the value of `x` satisfying the equation is

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