C0900TextPages_page_92

C0900TextPages | page 92 | https://thedailydialectics.com/pdfs/education/C0900TextPages/C0900TextPages.pdf

684 CHAPTER 9 Infinite Series EXAMPLE 8 A Power Series for sin? x Find the power series for f(x) = sin? x. Solution Consider rewriting sin? x as follows. sin? _ 1=cos2x _ 1 cos 2x sin’x = ——~Z = 5 2 Now, use the series for cos x. cos x = cos 2x = 1 — = cos 2x = 2 > 1 sim?x = > — > cos 2x = 2 This…