(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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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