Sopve it for me please and select which option is correct

Determine whether the following series converges. 10 ( - 1 ) k E k=o k+9 Let ax 2 0 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. O A. The series diverges because ak = is nondecreasing in magnitude for k greater than some index N. O B. The series converges because ak = is nondecreasing in magnitude for k greater than some index N. O C. The series diverges because ak = is nonincreasing in magnitude for k greater than some index N and lim ak = K-+ 00 O D. The series converges because ak = and for any index N, there are some values of k > N for which ak + 1 2 ak and some values of k > N for which ak + 1 Sak. O E. The series converges because ak = is nonincreasing in magnitude for k greater than some index N and lim ak = K-+ 0o O F. The series diverges because ak = and for any index N, there are some values of k > N for which ak + 1 2 ak and some values of k > N for which ak + 1 Sak