Fourier Series Expansion of |x| from -π to π.

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In this video on Fourier series, I have obtained the Fourier series of a function f(x) = |x|, in the range -π to π.
I have further deduced one expression
1/1^2 +1/3^2 +1/5^2 +...... = π^2/8.
For more videos on Fourier series, check out the playlist:
  1. Ayan Sarkar
  2. Fourier series
  3. Fourier series of |x|
  4. mod(x)
  5. |x| even function
  6. |cosx|
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