Question

Use the Ratio Test to determine whether sum_{n=15}^{infinity} 3^n / (2n)! converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n >= 15, lim_{n to infinity} |a_{n+1} / a_n| = lim_{n to infinity} [ ] / [ ] (b) Evaluate the limit in the previous part. Enter infinity as infinity and -infinity as -infinity. If the limit does not exist, enter DNE. lim_{n to infinity} |a_{n+1} / a_n| = 0 (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges

          Use the Ratio Test to determine whether sum_{n=15}^{infinity} 3^n / (2n)! converges or diverges.
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n >= 15,
lim_{n to infinity} |a_{n+1} / a_n| = lim_{n to infinity} [ ] / [ ]
(b) Evaluate the limit in the previous part. Enter infinity as infinity and -infinity as -infinity. If the limit does not exist, enter DNE.
lim_{n to infinity} |a_{n+1} / a_n| = 0
(c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges

$Use the Ratio Test to determine whether sumn=15^infinity 3^n / (2n)! converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n >= 15, limn to infinity |an+1 / an| = limn to infinity [ ] / [ ] (b) Evaluate the limit in the previous part. Enter infinity as infinity and -infinity as -infinity. If the limit does not exist, enter DNE. limn to infinity |an+1 / an| = 0 (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges$

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