What is the condition for convergence of the geometric series Σ ark? k=0 Choose the correct answer below. OA. |r21 OB. r<1 OC. |r|>1 OD. |r|≤1

Does the sequence {a,} converge or diverge? Find the limit if the sequence is convergent. 2. 1 sin 6n - 1 Select the correct choice below and, if necessary, fill in the answer box to complete the choice. O A. The sequence converges to lim a, = |- (Simplify your answer.) O B. The sequence diverges.

Please explain as detail as possible, thanks.

For what values of ? does the alternating series converge