∞ Determine whether the series Σ n=0 e B. | 元 n Select the correct choice below and, if necessary, fill in the answer box within your choice. The series converges because it is a geometric series with |r| < 1. The sum of the series is (Type an exact answer.) A. converges or diverges. If it converges, find its sum. The series converges because lim n→∞ D. The series diverges because lim n→∞ e (7) (Type an exact answer.) O c. The series diverges because it is a geometric series with |r|≥ 1. e T n n = 0. The sum of the series is #0 or fails to exist.

Determine whether the series Σ e5n n=0 converges or diverges. If it converges, find its sum. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The series diverges because it is a geometric series with |r| 21. The series diverges because OB. lim e5n #0 or fails to exist. - n→∞ The series converges because k OC. lime5n fails to exist. k→∞ n=0 The series converges because lim e5n = 0. The sum of the OD. n→∞o series is (Type an exact answer.) The series converges because it is a geometric series with |r| < 1. O E. The sum of the series is (Type an exact answer.)