Let f:[-T, 1]→ R, f(x) = x then the trigonometric Fourier series of is given by (-1)" cos(nx) and it +4 n =1 n? converges O uniformly on [-n,n]. O converges in the mean, i.e. lim f - sall = 0, where s, is the nth partial sum of the Fourier series of f. n+ 00 O converges pointwise but not uniformly on (- T, TT). converges in the mean (i.e. lim f – sll=0, where sn is the nth partial sum of the Fourier series of f.), but %3D not pointwise. converges in the mean (i.e. lim f-Sn = 0, where s, is the nth partial sum of the Fourier series of f)and n- 00 uniformly on [-T, T]. O uniformly on (-1, TT) and converges to 0 at xo = + TT.

Let f:[-T, 1]→ R, f(x) = x then the trigonometric Fourier series of is given by (-1)" cos(nx) and it +4 n =1 n? converges O uniformly on [-n,n]. O converges in the mean, i.e. lim f - sall = 0, where s, is the nth partial sum of the Fourier series of f. n+ 00 O converges pointwise but not uniformly on (- T, TT). converges in the mean (i.e. lim f – sll=0, where sn is the nth partial sum of the Fourier series of f.), but %3D not pointwise. converges in the mean (i.e. lim f-Sn = 0, where s, is the nth partial sum of the Fourier series of f)and n- 00 uniformly on [-T, T]. O uniformly on (-1, TT) and converges to 0 at xo = + TT.

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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