(1) f(x) = \(\frac{x}{1-x^3}\)
f(-x) = \(\frac{-x}{1-(-x)^3}\)
= \(\frac{-x}{1+x^3}\) ≠ -f(x) or f(x)
∴ f(x) is neither even nor odd function.
(2) f(x) = \(\frac{x^2}{1+x}\)
∴ f(-x) = \(\frac{(-x^2)}{1+(-x)}\)
= \(\frac{x^2}{1-x}\) ≠ -f(x) or f(x).
(3) f(x) = x-|x|
∴ f(-x) = -x-|-x|
= -x-|x|
= -(x+|x|) ≠ -f(x) or f(x)
∴ f(x) is neither even nor odd function.