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Each of the following functions is given over one period. Sketch several periods of the corresponding periodic function and expand it in an appropriate Fourier series.

Short Answer

Expert verified

The sketch of the function is shown below.

Step by step solution

01

Given information

The function,

02

Concept of Complex coefficients

The complex coefficients are:

Obtain the values as shown below.

Obtain further as follows:

Then the function is,

03

Draw the graph

The sketch of the function is shown below.

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