Determine whether the following series converges. 00 k=2

Last updated: 7/15/2022

Determine whether the following series converges. 00 k=2 K²2² +1 Let a 20 represent the magnitude of the terms of the given series. Select the correct choice below and fill in the answer box(es) to complete your choice. OA. The series converges because a OB. The series diverges because ax = OC. The series converges because a = OD. The series diverges because ax O E. The series diverges because ak OF. The series converges because ax = is nonincreasing in magnitude for k greater than some index N and lim ax = k-00 is nonincreasing in magnitude for k greater than some index N. and for any index N, there are some values of k>N for which ax+128, and some values of k>N for which ak+15ak and for any index N, there are some values of k>N for which ax+12ax and some values of k>N for which ak+158k is increasing in magnitude for k greater than some index N and lim ax = k-0 is nonincreasing in magnitude for k greater than some index N.