Use the Ratio Test to determine whether the series is convergent or divergent. 7 Σ k! k = 1 Identify ak Evaluate the following limit. ak + 1 lim k → 00 ak ak + 1 Since lim ? O 1, ---Select--- ak

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-00 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:

Given: Ak = (1 + 2/k)* For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise. (a) The series (A*). k=1 (b) The sequence {A}. \

Determine if the following series diverges, then select A, B, or C and fill in the blank. What is the limit & does this series diverge or converge?