Question

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00 Does the series 2 (-1)n +16+n 8+n converge absolutely, converge conditionally, or diverge? n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. O A The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OB. The series converges absolutely because the corresponding series of absolute values is geometric with Ir] =- Oc. The series converges conditionally per the Alternating Series Test and the Comparison Test with 00 n=1 OD. The series diverges because the limit used in the nth-Term Test is not zero. O E. The series converges conditionally per Alternating Series Test and because the limit used in the nth-Term Tes OF. The series converges absolutely because the corresponding series of absolute values is a p-series with p= Click to select and enter your answer(s)

Answer 1

Sou {a Eigntl (6th at senics divergence test: if Lim anto then {an diverses. lim [conti 6th noun no Limit diungono criterion Test! if two sequence exist, {xnyan, and Zundo na with Xntc and yn tc limyn=c lim flen) & lim flyn) Exist Ra) does not Lim XM - му — using The sub fequence Rad n=911 in to [eigntl Gan Ain] = lim 8th Gallinen .6+ak 8tak) 5-1 Хою 3@gma MY GExt using The [Eight! 6th lim no lim 2141 olevan 8th kooo C+@kt) 4+(21-4) There fore lim ಗಿನ no divenzy :. By divugence rest criteria DivERGES