11. Find the Maclaurin series of the given function by substitution into one of the known series, f(x) = sin'x = ~(1- cos2x) Using ayx = J (-1)? 2n ( 2n) ! n=0 Can 2X = = (-1) "? n 4 ( 2n) ! ( 2n ) 1 n = 0 Can 20 = ( - 4) " x 2n 4- ( 20) ! n =0 => fox) = sin x = (1-62x) = 1 - ( -4 ) " _x 4 ( zn ) ! n=0 - 2 1- 1 - 4 21 ... 4 ! 2n explain = 2 - 4 ) ( 2n) ! n= l G 2x 4 + 32X 128x 41 81 Ans