? Exercise 9.3.3 Find the function represented by the power series 1 3n x2 n=0 1 f(ac) 3 '3 X Determine its interval of convergence. Interval: (-3,3) Hint uestion Help: Message instructor D Post to forum Submit Question Next Page 30 A35 11:05 This question has 4 parts! Answer each part correctly to get the next part. Looking at the series e" = 1txt + 2! + ... 3! 4! 5! and the two series 4 cos (a) = 1 - 2! . . . 41 23 ro 5 sin(a) 3! 5! . . . it looks like we may be able to combine cos(a) and sin(ac) to get e". How could that work? Recall the imaginary number i = v-1 . Plug ix into ed get a power series: e" = Co + cla + c2x2 + c3x3 + c4x 4 +... with coefficients Co C1 C2 1 V , 8 = 6 , C4 24 Part 2 of 4 2 2 So el = 1 tix + 2 2! +... 3! 4! 5! Now multiply i times the series for sin (a ) to get a power series: i sin (x) = c12 + c323 + c525 +... with coefficients C1 C3 C5 = Help