Consider the series Σ n=1 Compute an where (-5n-3)" (-3n-5) In this problem you must attempt to use the Root Test to decide whether the series converges. Which of the following statements is true? an = Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. L = that the series converges absolutely. L = lim √√|an| 71-700

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the series
an where
n=1
(-5n - 3)"
(-3n-5)"
In this problem you must attempt to use the Root Test to decide whether the series converges.
Compute
an =
Which of the following statements is true?
A. The Root Test says that the series converges absolutely.
B. The Root Test says that the series diverges.
L = lim √√|an|
11-00
Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it
diverges but not to infinity or negative infinity.
L=
✓
C. The Root Test says that the series converges conditionally.
D. The Root Test is inconclusive, but the series converges absolutely by another test or tests.
E. The Root Test is inconclusive, but the series diverges by another test or tests.
F. The Root Test is inconclusive, but the series converges conditionally by another test or tests.
Enter the letter for your choice here:
Transcribed Image Text:Consider the series an where n=1 (-5n - 3)" (-3n-5)" In this problem you must attempt to use the Root Test to decide whether the series converges. Compute an = Which of the following statements is true? A. The Root Test says that the series converges absolutely. B. The Root Test says that the series diverges. L = lim √√|an| 11-00 Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. L= ✓ C. The Root Test says that the series converges conditionally. D. The Root Test is inconclusive, but the series converges absolutely by another test or tests. E. The Root Test is inconclusive, but the series diverges by another test or tests. F. The Root Test is inconclusive, but the series converges conditionally by another test or tests. Enter the letter for your choice here:
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