MathProblemsBank

2.6.2.20 Trigonometric Fourier series

Problem: Expand periodic function \( f(x) \) with a period of \( T=2 \) into Fourier series. Plot the graphs of function \( f(x) \) and the sums of Fourier series. Write down the first three partial sums of the Fourier series and plot their graphs. \[ f(x)=\left\{\begin{array}{ll} x, & 0 \leq x \leq 1 \\ 1, & 1