Question

The following polynomial is defined on the interval [-2, 2]:

f(x)= x + 7x² - 4x -10.

The function is then extended to the entire x-axis so that the extended function is periodic.
a. Find the Fourier series for this function.
b. To what values does the Fourier series converge to at the end points, x= - 2 and x = 2?
c. Keep only 2, 5, 10 terms in the Fourier series and plot them in the same plot (no need to turn in your code); also include a plot of the original function. Compare them.

Answer 1

Using Matlab code for Fourier series to calculate for the function, see the attached

Explanation:

Go through the picture step by step.