University of Florida/Egm4313/s12.team11.gooding/R6

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R6.3[edit]

Problem Statement[edit]

Page 491, #15,17. Plot the truncated Fourier series for n=2,4,8.

Solution[edit]

15.


Since , the function is odd.


After simplification,
. Using Equation (5) on page 490, the exapansion becomes;

With this becomes;
for n is "odd".
This means when n is even,

R63a.jpg

17.




 


Simplifying results in;

So,

 

when n is odd.

Simplifying results in;



Since for even n, becomes for even n.

R63b.jpg