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Consider the series when n=1 you should use the ratio test to decide whether the

ID: 3373599 • Letter: C

Question

    Consider the series when n=1


    you should use the ratio test to decide whether the series converges




    Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, MINF if it diverges to      negative infinity, or DIV if it diverges but not to infinity or negative infinity.
  L=

  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:


b) Same question


Compute


Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity.
L=

Which of the following statements is true?

A. The Root Test says that the series converges absolutely.
B. The Root Test says that the series diverges.
C. The Root Test says that the series converges conditionally.
D. The Root Test is inconclusive, but the series converges absolutely by another test or tests.
E. The Root Test is inconclusive, but the series diverges by another test or tests.
F. The Root Test is inconclusive, but the series converges conditionally by another test or tests.
Enter the letter for your choice here:




Compute


Enter the numerical value of the limit L if the limit exists, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity.
L=

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:

an = en + 8 n + 8/(n + 1)! an = (-1)n (1n(n)/n)n L = lim n rightarrow infinity n|an| Consider the series infinity n = 1 an where an = (3n + 1)10 n + 2/9n L = lim n rightarrow infinity |an + 1/an|

Explanation / Answer

a) L = 0, A

b) L = 0, A

c) L = 10/9, B