nzi 6 Suppose a student atteups to find the Coefficients of the cosive series for flx)...
nzi 6 Suppose a student atteups to find the Coefficients of the cosive series for flx) = ex on 20,6] ex = Ao + & An los non " as follows l rather than via the direct route of integrating, ie, An= ? Secos nox dx) The studuit, instead, thinks of a clever way: First, he differentiates (1) to get et = & an mo sin ning los Second, he differentiates (2) to get es 3, (99) An cos nox 133 Putting (1) and (3) together we gets Ao + An cos nox - & (en)*an ws nak cu Equating coefficients in (4) he obtains A=0 (5) Ant An (n) = 0 or An ( + M ) = 0 (6) since it (n = 0 =) Anzo The student does concludes Ao=Anzo. Is he correct? If correut explain why. If mcorrect point at the mistake and fix it.