For each of the following series, tell whether or not you can apply the 3-condition test (i.e. the alternating series test). If you can apply this test, enter D if the series diverges, or C if the series converges. If you can't apply this test (even if you know how the series behaves by some other test), enter N. (-1)"e" 1. n! 2. 3. 5. 71 (-1)" 11²+5 iMiMiMi (-1)"n! nn (-1)"n" n! (-1)" cos(NT) n5 (-1)"n!

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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q3

For each of the following series, tell whether or not you can apply the 3-condition test (i.e. the alternating series test). If you can apply this test, enter D if the series diverges, or C if the
series converges. If you can't apply this test (even if you know how the series behaves by some other test), enter N.
∞
(-1) ¹e¹
1.
n!
(−1)ª
4n² +5
n=1
∞
2.
3.
4.
5.
6.
n=1
00
n=1
∞
n=1
∞
n=1
∞
n=1
(-1)"n!
nn
(−1)"n"
n!
(-1)"cos(nn)
7.5
(-1)"n!
en
Transcribed Image Text:For each of the following series, tell whether or not you can apply the 3-condition test (i.e. the alternating series test). If you can apply this test, enter D if the series diverges, or C if the series converges. If you can't apply this test (even if you know how the series behaves by some other test), enter N. ∞ (-1) ¹e¹ 1. n! (−1)ª 4n² +5 n=1 ∞ 2. 3. 4. 5. 6. n=1 00 n=1 ∞ n=1 ∞ n=1 ∞ n=1 (-1)"n! nn (−1)"n" n! (-1)"cos(nn) 7.5 (-1)"n! en
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