If we know lim an = 0, we can conclude that Ln=1 an n→∞ A. Converges B. Diverges C. We cannot conclude anything |an+1 If we know lim an = 0, we can conclude that E=1 an A. Converges Conditionally B. Converges Absolutely C. Diverges D. We cannot conclude anything If we know thatf is a continuous, positive, decreasing function for which f (n) = an fo all values of n, and we know that f(x) dx = 4, then we can conclude that En=1an A. Converges to 4 B. Converges, but we do not know the sum C. Diverges D. We cannot conclude anything If we know that bn is positive for all n, that En=1 bn diverges, and that lim n→∞ Tbn : 4, then we can conclude that En=1an A. Converges Conditionally B. Converges Absolutely C. Diverges D. We cannot conclude anything

If we know lim an = 0, we can conclude that Ln=1 an n→∞ A. Converges B. Diverges C. We cannot conclude anything |an+1 If we know lim an = 0, we can conclude that E=1 an A. Converges Conditionally B. Converges Absolutely C. Diverges D. We cannot conclude anything If we know thatf is a continuous, positive, decreasing function for which f (n) = an fo all values of n, and we know that f(x) dx = 4, then we can conclude that En=1an A. Converges to 4 B. Converges, but we do not know the sum C. Diverges D. We cannot conclude anything If we know that bn is positive for all n, that En=1 bn diverges, and that lim n→∞ Tbn : 4, then we can conclude that En=1an A. Converges Conditionally B. Converges Absolutely C. Diverges D. We cannot conclude anything

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

If we know lim an = 0, we can conclude that Ln=1 an
n→∞
A. Converges
B. Diverges
C. We cannot conclude anything
|an+1
If we know lim
an
= 0, we can conclude that E=1 an
A. Converges Conditionally
B. Converges Absolutely
C. Diverges
D. We cannot conclude anything
If we know thatf is a continuous, positive, decreasing function for which f (n) = an fo
all values of n, and we know that f(x) dx = 4, then we can conclude that En=1an
A. Converges to 4
B. Converges, but we do not know the sum
C. Diverges
D. We cannot conclude anything
If we know that bn is positive for all n, that En=1 bn diverges, and that lim
n→∞ Tbn
: 4,
then we can conclude that En=1an
A. Converges Conditionally
B. Converges Absolutely
C. Diverges
D. We cannot conclude anything

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#2. Thanks.