Just wondering if anyone has an example of a (complex) function sequence $(f_n)$ which is uniformly convergent, but the sequence of cubes $(f_n^3)$ is not uniformly convergent?
2026-04-24 23:07:14.1777072034
Function Sequence Uniform Convergence
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How about $f_n(x)=x+\frac{1}{n}$?