If sin−1 [x−x22+x34−.......∞] +cos−1 [x2−x42+x64−.......∞]=π2 and 0<x≤√2 then x=
If sin−1(x−x22+x34−⋯)+cos−1(x2−x42+x64−⋯)=π2 for 0 < 1x < √2, then x equals