Question

Infinite Series Determine the convergence or divergence of the following series by applying one of given test. Half credit will be given to those the correctly apply another test instead. n(3)"e" (Limit Comparison Test or Root Test) Identify which two series are the same and then use the Ratio Test and/or Alternat Series Test to determine if the series is convergent or divergent A. (-1)" (n-1)2-1 ns2 B. À (-1)"+1 nen c. § (-1)+1 (n + 1)2

Answer 1

فر) caj Griven series is: E n (3) en nal Let an= ngh en lim nto lanlyn lim nta i mh.3 e11 =-1)32-11 3e-1 > 1 So By Root Testi series 3 n(3) "en is The diverges' nzl b) A: 8 Wa no haz (222 IC 2.22 2 + 3.23 tas 4.24 c tonti n.2n no1 E B SO A = Bi 1) ht2 - lim any nto an Let larta se ne antilly MH)2771 th+) 2.2 la n24 X(+2) 227.2 By Ratio Test; The series is converges lim NHA . lieto).21 = 45 So (ont han 거의