Use the ratio test to determine whether Σ n=10 converges or diverges. n(-3)n n!

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Chapter2: Graphical And Tabular Analysis
Section2.4: Solving Nonlinear Equations
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∞
n(-3)n
Use the ratio test to determine whether
n!
n=10
converges or diverges.
(a) Find the ratio of successive terms. Write your
answer as a fully simplified fraction. For n ≥ 10,
3
an+1
= lim
lim
N→∞ an
N→∞
(b) Evaluate the limit in the previous part. Enter ∞ as infinity
and - as -infinity. If the limit does not exist, enter DNE.
an+1
lim
= 0
n→∞
an
(c) By the ratio test, does the series converge, diverge, or is
the test inconclusive? Converges
Transcribed Image Text:∞ n(-3)n Use the ratio test to determine whether n! n=10 converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 10, 3 an+1 = lim lim N→∞ an N→∞ (b) Evaluate the limit in the previous part. Enter ∞ as infinity and - as -infinity. If the limit does not exist, enter DNE. an+1 lim = 0 n→∞ an (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges
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