Convergence of the Real analysis

Question

The question is find the Fourier series of "|cost| for all t". I already found the fourier series

But now the question asks " At which values of $x$, does the series fail to converge to ? To what values does it converge at those points? "

So what to do ?

score 1 · Accepted Answer · edited Apr 13 '17 at 12:21

1

That will converge for all $x$; the function is Lipschitz continuous, and so its Fourier series converges everywhere. (see, for instance, the answer to this question)

edited Apr 13 '17 at 12:21

Community

1

answered Sep 06 '12 at 08:05

BaronVT

13,613

That means this series do not fail to converge is it BaronVT? – Garett Sep 06 '12 at 11:58
Right, it does not fail to converge anywhere. – BaronVT Sep 06 '12 at 18:54

Convergence of the Real analysis

1 Answers1