Find the trigonometric Fourier series for the function f(x): [-1, 1] → R given by the expression: f(x) = O [0 if x = [-1,0] 1+xifre (0, 1] 8 FS(x) = ³ + -1 FS(x) = ² + 1 FS(x) = ³ + Σ=1 FS(x) = ³ + Σ=1 -cos(nπx) sin(nTx)). (-1)"+1 n²π² (−1)”—¹ cos(nπx) nn (-1)"-1 n²77² - -сos(nπx) + 1+2(-1)" nn -cos(nπx) + 1+2(-1)" nn 1–2(−1) sin(nπx) 7²π² 1-2(-1)" NT ›) sin(nTx)). Tx)). (-1)"-1 sin(nax) 7² 7²

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