Question

orales/Downloads/266 HW13.pdf (1) Use the integral test to find upper and lower bounds for the series 2in (2) Use the comparison test and the p-test to discuss the convergence of the sere (3) Discnss the convergence of the series Σ'n t 31m son 3 your reasoning carefully (4) Discus the coavergence of the ser (5) Discuss the convergence of the series Σ 2n)12 3-5 7-2nDn). in. In 54 3 9s884 (6) Disus the convergeace of the series (7) Discus the convergence of the series Σα" where a"-1217)" (8) Discuss the convergence of the series ΣΜ (9) Discu e, the convergence of the series Σ as (10) Dicus the convergence of the series ΣΜΝΕ (l1) Disius the convergenuce of the) 2 ) if n is even. ir " is even. +3 Dicus thromverwwe of the-tisyw, (12) 8 0 5 6

Answer 1

Consider which is a conver ging p-series - 723: 2 : 072 ow lim 2lim So by limit comparison test, the series 1s convergent. n +105n +70n+5 + 105722 + 70n + 5 317 150m3 (3) 57 1037 , br = _ which is a diverging p-series Now lim lim So by limit comparison test, the series n4 105n 70n +5n +105722 +70n +5 317n 150n +3 is divergent.