Question

Use the ratio test to determine whether ?_{n=11}^{?} frac{9^n}{(6n)^2} converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ? 11, lim_{n ? ?} | frac{a_{n+1}}{a_n} | = lim_{n ? ?} (b) Evaluate the limit in the previous part. Enter ? as infinity and -? as -infinity. If the limit does not exist, enter DNE. lim_{n ? ?} | frac{a_{n+1}}{a_n} | = (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose

          Use the ratio test to determine whether ?_{n=11}^{?} frac{9^n}{(6n)^2} converges or diverges.

(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ? 11,
lim_{n ? ?} | frac{a_{n+1}}{a_n} | = lim_{n ? ?}

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

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

$Use the ratio test to determine whether ?n=11^? frac9^n(6n)^2 converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ? 11, limn ? ? | fracan+1an | = limn ? ? (b) Evaluate the limit in the previous part. Enter ? as infinity and -? as -infinity. If the limit does not exist, enter DNE. limn ? ? | fracan+1an | = (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose$

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