2.6.2.14 Trigonometric Fourier series

Problem: Expand function \( f(x) \) into the trigonometric Fourier series in \( [-2 ; 2] \), continuing function in \( [-2 ; 0] \) oddly. \[ f(x)=\left\{\begin{array}{ll} 2-(1-x), & 0 \leq x \leq 1 \\ x-1, & 1 \leq x \leq 2 \end{array} .\right. \]