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Consider the series infinity n=1 (-1)n+1 8n-1/(n+4)6 7n+2 In this problem you mu

ID: 3192587 • Letter: C

Question

Consider the series infinity n=1 (-1)n+1 8n-1/(n+4)6 7n+2 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L = lim n rightarrow infinity |an=1/an| 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? The Ratio Test says that the series converges (absolutely). The Ratio Test says that the series diverges. The Ratio Test is inconclusive. Select the letter for your choice here:

Explanation / Answer

If you take the limit, you will see that:

L = 8/7

Using the ratio test, then this means that the series is divergent.