Question

Read these instructions at least twice: For the rest of the homework, decide whether the series is (A.C.) absolutely convergent, (C.C.) conditionally convergent, or (D.) divergent. An answer of “convergent” is not acceptable. Write one or two complete sentences summarizing the Test(s) or Theorem(s) you are using (you might have to use more than one), the conditions that you checked to apply the theorem, the value of appropriate limits, if any, that you computed, and how you obtained your conclusion. The summary should appear at the END of your solution. If there is no summary, the problem is not finished.

Answer 1

$ Given that ins (-)"llniny] 1513 here this is of the forro of į(-a, w We alternating series teht 0-) have and + Ca ) conditions: 193 1) i ) anant! 4m anco hЭЭР If Q-conditions Satisfied then Series is convergent I we know that 5/3 D. 5/2 (h+) > 513 5/3 (n+1) Y (in a linnal 5/3 & an>ant 0573 (hH) li) 4m >Р an 4 linn hove an= 18/ Ý Y. im (inn) (ino) The -) 15/3 5/3 home the two conditions of the series are fatisfied, then series is convergent through alternating series test now consider (Inn E 5/3 her n anti if Lal gerjal apply Ratio fit : Home ao low absolutely converter L> serios divergery

is convergent through alternating series to 4 ५ (Inn) (inches) 15/3 anta (Mosh 4 Cincota" = 4m (641) 57 جل -۸ Ctool 5/3 tim | Ctrintu?" TT ta) 53 *$(14 ta ] (Inn)" 4 series convergent through Ratio test. love huyo L=0cl um In(n+1) 11 . 974 (14654 Inin) Ina In (Aro) 108 im 5/3 (ingatlah m>]"] hool (172)5/3 (inloo) ㅕ 4m Criting ano (1914) cose = ) L = im (ttra 56 he honie o toh (Innya hal 513 n. ५ want & Wo and (33" linn) 18 absolutely convergent through Ratio teft nal 5/3 o & Co"%linna is absolutely convergent N} b/ Note o used altimating convergence theorem & Ratio rest.