2.6.2.23 Trigonometric Fourier series

condition: The function \( y=f(x) \), given on the interval \( (0 ; l) \), is expanded into a Fourier series of the indicated form. Construct a graph of this function \( y=f(x) \quad \) and \( \quad \) graph \( \quad \) of the sum \( \quad y=S(x) \) of the resulting series. \[ f(x)=\left\{\begin{array}{ll} 1+x, & 0

Trigonometric Fourier series - calculation of Fourier coefficients, expansion of functions in cosines and sines, plotting graphs of the sum of the Fourier series using the Dirichlet theorem, as well as graphs of partial sums.