- #1

- 76

- 0

## Homework Statement

1. Prove that if f(x) is continous in R with a period of 2pi and hjer fourier coefficients are 0 then

f(x)=0. Deduce that two different continous functions in R with a period of 2pi has different fourier series..

2. Prove by finding the fourier series at (0,pi) that for every x in (0,pi):

cosx= 8/pi * Sigma [ (n*sin(2nx) ) / (4n^2 - 1) ]. Check if the formula is correct for x=0 and x=pi and explain why the series doesn't uniformly converges at (0,pi). Is it pointwise converge at (0,pi)? Mean converges?

## Homework Equations

## The Attempt at a Solution

I've no idea how to solve it...I'm pretty lame at this and have no idea what to do... I'll be glad to recieve some detailed guidance...

Thanks in advance

Last edited: