A periodic function f(x) is defined by f(x) = x² + 3 for – 2 < x <2 and f(x) = f(x + 4). %3D Sketch the graph of the function for -6 < x < 6. Then, determine whether f(x) is even, odd or neither. Hence, find its Fourier series.

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A periodic function f(x) is defined by f(x) = x² + 3 for –2 <x < 2 and f(x) = f(x + 4).
%3D
Sketch the graph of the function for -6 < x < 6. Then, determine whether f(x) is even, odd or neither.
Hence, find its Fourier series.
Transcribed Image Text:A periodic function f(x) is defined by f(x) = x² + 3 for –2 <x < 2 and f(x) = f(x + 4). %3D Sketch the graph of the function for -6 < x < 6. Then, determine whether f(x) is even, odd or neither. Hence, find its Fourier series.
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