C0900TextPages_page_52

C0900TextPages | page 52 | https://thedailydialectics.com/pdfs/education/C0900TextPages/C0900TextPages.pdf

644 CHAPTER 9 Infinite Series Summary of Tests for Series Test Series Condition(s) Condition(s) Comment of Convergence of Divergence nth-Term S a, lim a +0 This test cannot be used n=l noe to show convergence. Geometric Series > ar” |r| <1 |r| = 1 n=0 Telescoping Series > (b, — b,4,) | lim b, = L…