determine whether the following series diverges Σ ( - 1/1 ) ² K=0 let a so represent the magnitude of the terms of the given series. Identify and describe ak. A. a and for any index N, there are some values of k>N for which sak. Ja and some values of K&N for which ap а кто akti B: a = - is nonincreasing in magnitude for k greater than some index C. ax = _ is nondecreasing in magnitude for k greater than some - index N. Does this series converge or diverge? lim ak = ? K-∞

Use any method to determine if the series converges or diverges. Give reasons for your answer. (n+5)(n+2) n! n=1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series converges because the limit used in the nth-Term Test is B. The series diverges because the limit used in the Ratio Test is Oc. The series converges because the limit used in the Ratio Test is OD. The series diverges because the limit used in the nth-Term Test is

Determine whether this series converges or diverges. State all tests you used to make your 1 2 + 3" n=1