Question

exercises 1 and 2. this section is on classical power series

nb ica 11.3 File Edit Help Use the geoemetric series to give a series for Then differentiate your series to give a formula for 2 Exercise 2: Expansions for sine and cosine by differential equations The initial vabve problJuhas s unique soburion wihem /ui i mooth: Ths an be uwed t comute the eies 10)-1 b) Verify that - .. sat assum력 the seres converges for all r and assuming it is vaid toáff restiate the senes terny-tem 2 432 e) Show that Cos11-1 +-.. +(-1,- 2 432 y10)-1 y10)-1 ssuming the seris convarges for all and assuming i is vaid to dfferetsae the seris term- by-tm + (-1, +-.. satisfes: e) Verify that y . x -- +--+ 32 $432 2n-It 0 Show that Sinlx)-1 2 $432 DOLL

Answer 1

1忕 y-Sinz, - 21 2! 41 Cossl