Explore BrainMass
Share

# Finding Values Using Dirichlet's theorem

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

For of the periodic functions , I need to find the value to which the Fourier series converges at

x= 0 , Pi/2 , - Pi/2 , Pi , -Pi , 2Pi , - 2Pi

Using Dirichlet's theorem

(See attached files for full problem description).

https://brainmass.com/math/fourier-analysis/finding-values-dirichlets-theorem-53445

#### Solution Preview

For of the periodic functions , I need to find the value to which the Fourier series converges at

x= 0 , Pi/2 , - Pi/2 , Pi , -Pi , 2Pi , - 2Pi

Using Dirichlet's theorem

Theorem (Dirichlet's theorem.) If f(x) is an absolutely integrable periodic function with period in the interval , that has a finite number of points of discontinuity, then at any point where f(x) has the left- and right-hand derivatives and its ...

#### Solution Summary

This solution is comprised of a detailed explanation to answer Dirichlet's theorem.

\$2.19