Question

Use the ratio test to determine whether sum_{n=13}^{infty} frac{9^n}{(2n)!} converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ge 13, lim_{n o infty} left| frac{a_{n+1}}{a_n} ight| = lim_{n o infty} frac{quad}{quad} (b) Evaluate the limit in the previous part. Enter infty as infinity and -infty as -infinity. If the limit does not exist, enter DNE. lim_{n o infty} left| frac{a_{n+1}}{a_n} ight| = (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose

          Use the ratio test to determine whether sum_{n=13}^{infty} frac{9^n}{(2n)!} converges or diverges.

(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ge 13,
lim_{n 	o infty} left| frac{a_{n+1}}{a_n} 
ight| = lim_{n 	o infty} frac{quad}{quad}

(b) Evaluate the limit in the previous part. Enter infty as infinity and -infty as -infinity. If the limit does not exist, enter DNE.
lim_{n 	o infty} left| frac{a_{n+1}}{a_n} 
ight| =

(c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose

$Use the ratio test to determine whether sumn=13^infty frac9^n(2n)! converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ge 13, limn o infty left| fracan+1an ight| = limn o infty fracquadquad (b) Evaluate the limit in the previous part. Enter infty as infinity and -infty as -infinity. If the limit does not exist, enter DNE. limn o infty left| fracan+1an ight| = (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose$

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