As in the title, I am struggling to find a family of functions defined on a compact set that is both equicontinuous and not pointwise bounded.
Any help is appreciated!
2026-02-23 02:59:30.1771815570
Example of an equicontinuous family of functions defined on a compact set that is not point-wise bounded.
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What about $(\forall n\in\mathbb{N}):f_n(x)=n$?