Use the limit comparison test to determine whether a. Choose a series bn with terms of the form b n=11 lim n x an bn = lim 81x 83 = n + 11 4 7n² +4n n=11 3 an = = 8 n=11 8n³ - 6n² + 11 7+4n4 converges or diverges. b. Evaluate the limit in the previous part. Give an exact answer if the limit is a number. Otherwise, enter -∞ or ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way. 1 and apply the limit comparison test. Write your answer as a fully simplified fraction. NP an lim n→∞ bn c. By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges X

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