Consider the series Σ(n+1)72n+1 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L = lim n-∞o an+1 an Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. L = Motor in order Which of the following statements is true? A. The Ratio Test says that the series converges absolutely. B. The Ratio Test says that the series diverges. C. The Ratio Test says that the series converges conditionally. D. The Ratio Test is inconclusive, but the series converges absolutely by another test or tests. E. The Ratio Test is inconclusive, but the series diverges by another test or tests. F. The Ratio Test is inconclusive, but the series converges conditionally by another test or tests. Enter the letter for your choice here:

1. Determine whether the following sequences and series' converge or diverge. If a sequence converges, find its limit. If a series converges, find its sum. Show all work. Exact sums, no decimals. n-1 (a) n+1 Converges or Diverges: limit (If Converges): (b) È"-1 n=1 n+1 Converges or Diverges: Sum(If Converges): (c) (-1):) (n+1)!J Converges or Diverges: limit (If Converges): (d) (n-1)! (n+1)! n=1 Converges or Diverges: Sum(If Converges): 7" (e) |(-8)*| n-1 Converges or Diverges: limit (If Converges): 1

Use the Ratio Test to determine whether the series is convergent or divergent. 1 40 2(-1)0 - 1 30n3 n = 1 Identify a Evaluate the following limit. a n + 1 lim a Since lim 1, the series is divergent a