# Thread: Uniform Convergence of a function

1. ## Uniform Convergence of a function

For $n \in \mathbb{N}$, let $f_{n}:\mathbb{R} \to \mathbb{R}$ be defined as $f_{n}(x)= \frac{x}{\log{(1+n+x^{2})}}$. Then does $(f_n)$ converge uniformly.

2. No，its pointwise limit is 0,but it does not converges uniformly.