Fourier Series No.2: Evaluating Function g(x)

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SUMMARY

The discussion revolves around evaluating the Fourier series for the function g(x), derived from an initial function f(x) defined between -π and π. The user has successfully computed the Fourier series for f(x) but seeks validation for their approach to g(x). The lack of visibility into the user's calculations due to a pending attachment approval hinders further assistance and verification of their work.

PREREQUISITES
  • Understanding of Fourier series and their applications in signal processing.
  • Knowledge of trigonometric functions and their properties.
  • Familiarity with the interval of convergence for Fourier series.
  • Basic skills in mathematical analysis and function evaluation.
NEXT STEPS
  • Review the principles of Fourier series convergence and divergence.
  • Study the process of deriving Fourier coefficients for piecewise functions.
  • Explore the implications of discontinuities in functions when evaluating Fourier series.
  • Learn about tools like MATLAB or Python for visualizing Fourier series approximations.
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Students studying mathematical analysis, particularly those focusing on Fourier series, as well as educators and tutors assisting with related homework problems.

asi123
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Fourier series no.2 :)

Homework Statement



Hey guys.
So I have this function f(x) between -pi and pi.
I found the Fourier series for it.
Now I need to find the Fourier series for g(x). The problem is, I'm not sure about g(x), is it correct what I did?
Thanks in advance.


Homework Equations





The Attempt at a Solution

 

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Can't tell what you did, since the attachment is still pending approval.
 

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