C0900TextPages_page_49

C0900TextPages | page 49 | https://thedailydialectics.com/pdfs/education/C0900TextPages/C0900TextPages.pdf

SECTION 9.6 The Ratio and Root Tests 641 Goats EXAMPLE 3 A Failure of the Ratio Test vn n+ oo Determine the convergence or divergence of > (-1)" n=l Solution The limit of |a, , ,/a,,| is equal to 1. ~we (SC) . /n+1/(n+1 im | n (45) V1(1) =1 Gn+1 a, lim n-y00 NOTE The Ratio Test is also inconclu-…