Let fn(x)=x1+nx2f_n(x) = \frac{x}{1+nx^2}fn(x)=1+nx2x. Which of the following is true about the convergence of fnf_nfn on R\mathbb{R}R?
It converges pointwise to 0 and uniformly to 0.
It converges pointwise to 0 but not uniformly.
It converges pointwise to 1/n and uniformly to 0.
It does not converge pointwise.