Mathematics, 14.07.2021 21:10 emmapizano
Use the limit comparison test to determine whether ∑n=19∞an=∑n=19∞8n3−2n2+196+3n4 converges or diverges.
(a) Choose a series ∑n=19∞bn with terms of the form bn=1np and apply the limit comparison test. Write your answer as a fully simplified fraction. For n≥19,
limn→∞anbn=limn→∞
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and −∞ as -infinity. If the limit does not exist, enter DNE.
limn→∞anbn =
(c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive?
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