6. Let x~O x = O. (a) Compute the Fourier coefficients of I. (b) Prove that (S2N...
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6. Let x~O x = O.
(a) Compute the Fourier coefficients of I.
(b) Prove that
(S2N
f) (x) = ~ r sin. 2N t dt 7I"Jo smt for x E [-71",71"] and N E N.
*
(c) [GIBBS'S PHENOMENON]. Prove that h.m (S2Nf) (7-1N" ) = -2171"-sint dt ~ 1.179
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