Question

(1 pt) Use the ratio test to determine whether $sum_{n=2}^{infty} frac{n+6}{n!}$ converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For $n ge 2$, $lim_{n o infty} left| frac{a_{n+1}}{a_n} ight| = lim_{n o infty}$ (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? Converges

          (1 pt) Use the ratio test to determine whether $sum_{n=2}^{infty} frac{n+6}{n!}$ converges or diverges.
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For $n ge 2$,
$lim_{n 	o infty} left| frac{a_{n+1}}{a_n} 
ight| = lim_{n 	o infty}$ 
(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? Converges

$(1 pt) Use the ratio test to determine whether sumn=2^infty fracn+6n! converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ge 2, limn o infty left| fracan+1an ight| = limn o infty (b) Evaluate the limit in the previous part. Enter infty as infinity and -infty as -infinity. If the limit does not exist, enter DNE. limn o infty left| fracan+1an ight| = (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges$

Added by Sandra F.

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