Question

Determine whether the following series converges. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) O A. Because -, for any positive integer k, and 2Ink + 2 diverges, the series diverges by the Comparison Test. +2 k+2 OB. Since J - = 0o, the series diverges by the Integral Test. Ink + 2 8 c. Because Ink +2 —, for any positive integer k, and converges, the series converges by the Comparison Test. k + 2 k = 1 OD. The terms of the series are alternating and their limit is so the series converges by the Alternating Series Test. O E. Since -= the series converges by the Integral Test. J Ink The Ratio Test yields r= . This is less than 1, so the series converges by the Ratio Test.

Answer 1

Graph eby site and ya In the onk. +2 K+2 gata araph from graft u t k Kal K+2 mK K-1 & since - is divergent (by limit comperssion by E) i diverges by direct compares van test Scanned with CamScanner