Suppose $f_n$ is a sequence of increasing functions defined on $[a,b] \to \mathbb{R}$. Say that $f_n \to f$ pointwise, such that $f$ is continuous.
Does this imply that the convergence is also uniform?
2026-02-25 14:40:36.1772030436
Continuity of limit on a compact set implies uniform convergence
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