Math Problem Statement
only give right answer
Fourier series of f(x) in (0, 2π) is possible only when (a) f(x) is an even function, (b) f(x) is an odd function, (c) f(x) is a periodic function, (d) All of these.
Solution
The correct answer is III. (c) f(x) is a periodic function.
The Fourier series of a function is only possible if the function is periodic.
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Math Problem Analysis
Mathematical Concepts
Fourier Series
Periodic Functions
Formulas
Fourier Series formula: f(x) = a0/2 + Σ [an*cos(nx) + bn*sin(nx)]
Theorems
Fourier's Theorem on Periodic Functions
Suitable Grade Level
University Level
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