Prove that the function defined as, F(x) = {`e^(-sqrt(|ln{x}|)) - {x}^(sqrt(1/(|ln{x}|)))` where ever it exists otherwise {x}, f(x) is odd as well as even.

Answer

`{:f(x) =[(-x^2 +sinx, -1 lt x le 0),(x-e^x, x lt -1):}`