- #1
ramses07
- 11
- 0
Homework Statement
Which of the following functions, when extended as 2pi periodic function, are equal to their Fourier series?
a. F(x) = 2x, pi<x<-pi
b. f(x)= 3 abs value (x)
Homework Equations
none
The Attempt at a Solution
After i graphed the functions into periodic functions of 2 pi, my professor told me that the first one doesn't represent its Fourier series since it doesn't converge at its end points, and the second one does. The coefficients do not need to be calculated.
Can anybody explain what my professor meant by it doesn't converge at its end points and why the b. does represent it series.