ASSIGNMENT II (1) Test the convergence of the series (i) (2) Test the convergence of (3) Obtain the Fourier series expansion of in the interval 0

1.FIND THE FOURIER SERIES WITH PERIOD 3 TO REPRESENT F(X)=2X-X^2 IN(0,3)2.FIND THE FOURIER SERIES EXPANSION OF F(X)=[SINX] IN -3.14


ASSIGNMENT II (1) Test the convergence of the series (i) (2) Test the convergence of (3) Obtain the Fourier series expansion of in the interval 0 <>< 2 and hence deduce that (4) find the fourier series expansion of (5) find a fourier series with period 3 to represent f(x) = 2x-x2 in (0,3). å ¥ = + 1 4 ! ! 4 )! 4 ( k k k k 2="" and="" hence="" deduce="" that="" (4)="" find="" the="" fourier="" series="" expansion="" of="" (5)="" find="" a="" fourier="" series="" with="" period="" 3="" to="" represent="" f(x)="2x-x2" in="" (0,3).="" å="" ¥="+" 1="" 4="" !="" !="" 4="" )!="" 4="" (="" k="" k="" k="">