C0900TextPages_page_71

C0900TextPages | page 71 | https://thedailydialectics.com/pdfs/education/C0900TextPages/C0900TextPages.pdf

SECTION 9.8 Power Series 663 EXAMPLE 6 Finding the Interval of Convergence —1)"(x + 1)" Find the interval of convergence of > Cures n=0 Solution Letting w,, = (—1)"(x + 1)"/2” produces (- Ith + 1jtt Qn +1 li ntl) yy nef u, | ms) (Dee + DP Qn . 2" + 1) = lim Poe nti | _ |x 7 | By the Ratio Test, the…