8n + 3 Use the limit comparison test to determine whether > converges or diverges. an = 5n5 + 2n2 + 5 n=5 n=5 (a) Choose a series > bn with terms of the form bn = 1 and apply the limit comparison test. Write your answer as a fully n=5 reduced fraction. For n > 5, an lim n-00 bn = lim n-00 (b) Evaluate the limit in the previous part. Enter ∞ as infinity and -o as -infinity. If the limit does not exist, enter DNE. an lim n→00 bn (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Choose

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.