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## Homework Statement

Hi,

Can someone give me an example where f_n is continuous on [0,1] for each n.

[tex]f = \sum_{n=0}^\infty f_n[/tex] converges pointwise(not uniformly) on [0,1] and f is not continuous on [0,1]?

Thanks!

## Homework Equations

## The Attempt at a Solution

Technically we need uniform convergence, but I am having trouble coming up with such an example.