Chapter 11, Problem 16RE

To determine

To sketch: The Graph of periodic extension of Fourier series $f\left(x\right)=\left|x\right|-x,-1<x<1$, Fourier series $f\left(x\right)=2x^2-1,-1<x<1$, Cosine Fourier series $f\left(x\right)=e^{-x},0<x<1$ and Sine Fourier series $f\left(x\right)=e^{-x},0<x<1$ to which each series converges.