1 2 3 PL K LLL Calculate the terms through order five of the power series expansion about z=0 of the function z/sin z. 2 Solution sin z =1+-+ - 3! 5! 7! 2-23/3!+25/5!.. 1-2/3!+24/5!-... - ...) + (...) + (...) 3 + 0 (2) = 1+2/6+ a4+a626 +0 (27) a4= -/+ 1 = (3!)2 36 - 1 120 6(1-14)+4.5-7 10-3 360 7 = 360 2 1 140-78 62 = - a6 sin z = = 315! 724 1++ +0(26) 360 + = = = = 3 (3!) 3!7! 3!7! 317! 312