New posts in Uniform Convergence

What's wrong with this proof that $0 = 1$?

Prove that $\sum\limits_{n=1}(-1)^n\frac{x^2+n}{n^2}$ uniformly convergent on $[a,b]$

$f_n$ converge uniformly to $f$ then $\mathrm{d}f_n(x_n)$ converges to $\mathrm{d}f(x)$

What is the main difference between pointwise and uniform convergence as defined here?

Different ways of proving that $|\sum^{\infty}_{k=1}(1-\cos(1/k))|\leq 2 $

Let $f : \mathbb{R} \to \mathbb{R}$ be approximated arbitrarily well by polynomials of bounded degree. Prove $f$ is a polynomial.

Uniform convergence of ${(1-\frac{x^2}{n})^n}$

Is a power series uniformly convergent in its interval of convergence?

Uniform Convergence of $(\sin x)^n$

Uniform convergence and lengths