Letf : R ->Rbe a function.

We say that f is Lipschitz continuous if there is some

L > 0such that|f(x) − f(y)| < L|x − y|forall x, y in R.

I want toshowthatf : R ->Rdefined asf(x) = x^2 / (1+ x^2)isLipschitz continuous.

I know I should use theMean Value Theorembut i cant seem to apply it can some one please help thanks