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We shall find a Fourier series for the function f(x) = x on the interval x (?2, 2) extended to a periodic function:
f(x) = (1)
One application, perhaps unexpected, of such a Fourier series is the evaluation of infinite sums, for instance
S = (2)
resembling another conditionally-convergent series in the context of the binding energy of crystalline salt. Evaluate (2) by substituting a particular value for x in (1). (We