Consider the following periodic function 1, -1

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Pls answer a and b
Consider the following periodic function
-1 <r < 0,
0 <r<1,
g(r) :
g(x) = g(x + 2).
i. Sketch the graph of g(r) in the interval -2 < r < 2 and deter-
mine whether g(r) is even, odd or neither.
ii. Hence, find the Fourier series of g().
Transcribed Image Text:Consider the following periodic function -1 <r < 0, 0 <r<1, g(r) : g(x) = g(x + 2). i. Sketch the graph of g(r) in the interval -2 < r < 2 and deter- mine whether g(r) is even, odd or neither. ii. Hence, find the Fourier series of g().
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