in-eac-of-the-following-problems-you-are-given-a-function-on-the-interval-pi-lt-x-lt-pi-Sketch-several-periods-of-the-corresponding-periodic-function-of-period-2pi-Expand-the-periodic-function-in-a-s

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Question Number 10762 by 2525 last updated on 24/Feb/17

$$\mathrm{in}\mathrm{eac}\mathrm{of}\mathrm{the}\mathrm{following}\mathrm{problems}\mathrm{you}are$$$$\mathrm{given}\mathrm{a}\mathrm{function}\mathrm{on}\mathrm{the}\mathrm{interval}-\pi <x<\pi .$$$$\mathrm{Sketch}\mathrm{several}\mathrm{periods}\mathrm{of}\mathrm{the}\mathrm{corresponding}$$$$\mathrm{periodic}\mathrm{function}\mathrm{of}\mathrm{period}2\pi .\mathrm{Expand}\mathrm{the}$$$$\mathrm{periodic}\mathrm{function}\mathrm{in}\mathrm{a}\mathrm{sine}-\mathrm{consine}\mathrm{Fourier}$$$$\mathrm{series}.$$$$$$$$F\left(x\right)=\{{\stackrel{x+\pi }{}}_0{\stackrel{-\pi <x<0}{}}_{0<x<\pi }$$

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