Question: Using Prob. 11, show that 1 + 1/4 + 1/9 + 1/16 + = 1/6 2 . Data from Prob. 11

Using Prob. 11, show that 1 + 1/4 + 1/9 + 1/16 + · · · = 1/6 π2.

Data from Prob. 11

Is the given function even or odd or neither even nor odd? Find its Fourier series. Show details of your work.

f (x) = x2 (-1 < x < 1), p = 2

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