Q1_ The graph of the Fourier series of the periodic function f(x) is given as shown in Figure 1. Its period, p = 2L = 2, so L = 1. Write the function for the graph; then find the Fourier series of the function.
Lp-ZL -
Figure 1: Periodic function f(x) for interval -1 < x < 1
Q2_ A periodic function f(x) is defined as:
f(x) = x - 4
-2 < x < 2
and
f(x) = f(x + 4)
Sketch the graph of this function over -6 < x < 6 and determine whether the function is odd or even. Find the Fourier series of the function and by choosing an appropriate value of x, show that:
12 = 1 + 2