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