- #1

gajohnson

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## Homework Statement

The problem is Exercise 8 from Chapter 7 of Rudin. It can be seen here:

http://grab.by/mGxY

## Homework Equations

## The Attempt at a Solution

It seems quite obvious to see that because [itex]\sum\left|c_n\right|[/itex] converges, [itex]f(x)[/itex] will converge uniformly.

However, I am having a difficult time understanding why [itex]f(x)[/itex] will be continuous at all [itex]x\neq{x_n}[/itex]

Any help with understanding this second part of the proof would be greatly appreciated. Thanks!