If `sin^(- 1)(x-(x^2)/2+(x^3)/4-.....)+cos^(- 1)(x^2-(x^4)/2+(x^6)/4-.....)=pi/2` for `0 lt |x| lt sqrt2` then `x=`

If sin^(-1) (x - (x^(2))/(2 ) + (x^(3))/(4)….)+cos^(-1)(x^2-x^4/2+x^6/4-....)=pi/2 for 0 lt |x| lt sqrt(2) then x equals :

sin^(-1)(x-(x^(2))/(2)+(x^(3))/(4)-...)+cos^(-1)(x^(2)-(x^(4))/(2)+(x^(6))/(4)-...*)=(pi)/(2) for 0<|x|

If sin^(-1)(x-x^2/2+x^3/4-….oo)+cos^(-1)(x^2-x^4/2+x^6/4-….oo)=pi/2 and 0 lt x lt sqrt2 then x =

If cos^(-1)(x-(x^(2))/(2)+(x^(3))/(4)-…)" "+sin^(-1)(x^(2)-(x^(4))/(2)+(x^(6))/(4)-….)=(pi)/(2) 0le |x| lt sqrt2 , then x is equal to

If cot^(-1)(x-(x^(2))/(2)+(x^(3))/(4)-…………..)+tan^(-1)(x^(2)-(x^(4))/(2)+(x^(6))/(4)-……..)=(pi)/(2)" for "0lt |x| lt sqrt2 , then x is equal to

If cot^(-1)(x-(x^(2))/(2)+(x^(3))/(4)-…………..)+tan^(-1)(x^(2)-(x^(4))/(2)+(x^(6))/(4)-……..)=(pi)/(2)" for "0lt |x| lt sqrt2 , then x is equal to

If sin^-1(x - x^2/2 + x^3/4 - ..... infty) + cos^-1 (x^2 - x^4/2 + x^6/4 - ........infty)= pi/2 0 lt absx lt pi/2 , then x is