Let the sequence of functions

gn : R----R be given by $\displaystyle g _{n}=x/(1+nx^{2})$

(b) Show that gn converges to g uniformly.

Do i need to show $\displaystyle g_{n}$ converge to $\displaystyle g=x/(1+x^{2})$as n tends to infinity?

How do i show $\displaystyle g_{n}$ converges to g uniformly.Thanks