Math Problem Statement
Find the Fourier series of f(x) = x^2 , x ∈ (0,2L). Hence deduce that
1/1^2 + 1/3^2 + 1/5^2
- ⋯ ∞ = π^2/8
Solution
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Math Problem Analysis
Mathematical Concepts
Fourier Series
Integration
Infinite Series
Formulas
Fourier series coefficients
Summation of series
Theorems
Fourier series representation
Suitable Grade Level
Advanced Undergraduate
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