Use the limit comparison test to determine whether 6n + 4 an = n=4 4n° + 2n² + 9 converges or diverges. 1 and apply the limit comparison test. Write your answer as a fully simplified fraction. For (a) Choose a series > br with terms of the form b, = n=4 n 4, an lim n0o bn = lim n00 4n° + 2n +9 (b) Evaluate the limit in the previous part. Enter oo as infinity and –∞ as -infinity. If the limit does not exist, enter DNE. -0- an lim n00 bn (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges Hint: IM:

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