(1 pt) Consider the series Mε Σ an where n=1 an = (5)" (2n+1)! In this problem you must attempt to use the Ratio Test to decide whether the series converges. (a) We want to compute L = lim an+1 n→X An The ratio simplifies to where p = And so the limit is L = An+1 = An and q = 61 Enter INF if it diverges to infinity, MINF if it diverges to negative infinity, or DNE if the limit does not exist. (b) What is the conclusion of the ratio test? A. The ratio test says that the series does not converge. B. The ratio test says that the series converges. C. None of the above. (c) Which test should you apply to this series? A. Limit comparison with a p-series. B. The ratio test worked. No need for another test. C. The geometric test. D. The p-series test. E. The integral test. F. The root test. G. None of the above.
(1 pt) Consider the series Mε Σ an where n=1 an = (5)" (2n+1)! In this problem you must attempt to use the Ratio Test to decide whether the series converges. (a) We want to compute L = lim an+1 n→X An The ratio simplifies to where p = And so the limit is L = An+1 = An and q = 61 Enter INF if it diverges to infinity, MINF if it diverges to negative infinity, or DNE if the limit does not exist. (b) What is the conclusion of the ratio test? A. The ratio test says that the series does not converge. B. The ratio test says that the series converges. C. None of the above. (c) Which test should you apply to this series? A. Limit comparison with a p-series. B. The ratio test worked. No need for another test. C. The geometric test. D. The p-series test. E. The integral test. F. The root test. G. None of the above.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:(1 pt) Consider the series
Mε
Σ
an where
n=1
an =
(5)"
(2n+1)!
In this problem you must attempt to use the Ratio Test to decide whether the series converges.
(a) We want to compute
L = lim
an+1
n→X
An
The ratio simplifies to
where p =
And so the limit is L
=
An+1
=
An
and q
=
61
Enter INF if it diverges to infinity, MINF if it diverges to negative infinity, or DNE if the limit does
not exist.
(b) What is the conclusion of the ratio test?
A. The ratio test says that the series does not converge.
B. The ratio test says that the series converges.
C. None of the above.
(c) Which test should you apply to this series?
A. Limit comparison with a p-series.
B. The ratio test worked. No need for another test.
C. The geometric test.
D. The p-series test.
E. The integral test.
F. The root test.
G. None of the above.
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