003-2 Determine whether the series > 4 n=0 Select the correct choice below and, if necessary, fill in the answer box within your choice. 3-2 A. The series diverges because lim n→∞0 O B. converges or diverges. If it converges, find its sum. The series converges because lim -#0 or fails to exist. 3-2 n+∞0 4 (Type an integer or a simplified fraction.) = 0. The sum of the series is O C. The series converges because it is the difference between two geometric series, each with |r|<1. The sum of the series is (Type an integer or a simplified fraction.) O D. The series diverges because it is the difference between two geometric series, at least one with |r| > 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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003-2
Determine whether the series >
4
n=0
Select the correct choice below and, if necessary, fill in the answer box within your choice.
3-2
A. The series diverges because lim
n→∞0
O B.
converges or diverges. If it converges, find its sum.
The series converges because lim
-#0 or fails to exist.
3-2
n+∞0 4
(Type an integer or a simplified fraction.)
= 0. The sum of the series is
O C.
The series converges because it is the difference between two geometric series, each with |r|<1. The sum of the series is
(Type an integer or a simplified fraction.)
O D. The series diverges because it is the difference between two geometric series, at least one with |r| > 1.
Transcribed Image Text:003-2 Determine whether the series > 4 n=0 Select the correct choice below and, if necessary, fill in the answer box within your choice. 3-2 A. The series diverges because lim n→∞0 O B. converges or diverges. If it converges, find its sum. The series converges because lim -#0 or fails to exist. 3-2 n+∞0 4 (Type an integer or a simplified fraction.) = 0. The sum of the series is O C. The series converges because it is the difference between two geometric series, each with |r|<1. The sum of the series is (Type an integer or a simplified fraction.) O D. The series diverges because it is the difference between two geometric series, at least one with |r| > 1.
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