For each of the following series, tell whether or not you can apply the 3-condition test (i.e. the alternating series test). Enter D if the series diverges by this test, C if the series converges by this test, and Nif you cannot apply this test (even if you know how the series behaves by some other test). * (-1)" cos(n) 1. n2 n=1 2. -1)"(n³ +1) n3 +7 n=1 (-1)"(n³ + 1) 3. n4 +1 n=1 (-1)"(n10 + 1) 4. en n=1 (-1)"(nª + 2n) 5. n3 1 n=2 -1)" 6. n=1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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please answer 4,5,6

For each of the following series, tell whether or not you can apply the 3-condition test (i.e. the alternating series test). Enter D if the series diverges by this test, C if the
series converges by this test, and N if you cannot apply this test (even if you know how the series behaves by some other test).
(-1)" cos(n)
1.
Σ
n2
n=1
(-1)"(n³ + 1)
D
2.
n3 + 7
n=1
(-1)"(n³ + 1)
3.
n4 +1
n=1
-1)"(n10 +1)
C
4.
e
n=1
(-1)"(nª + 2n)
D
5.
n3 – 1
n=2
6.
n=1
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). Enter D if the series diverges by this test, C if the series converges by this test, and N if you cannot apply this test (even if you know how the series behaves by some other test). (-1)" cos(n) 1. Σ n2 n=1 (-1)"(n³ + 1) D 2. n3 + 7 n=1 (-1)"(n³ + 1) 3. n4 +1 n=1 -1)"(n10 +1) C 4. e n=1 (-1)"(nª + 2n) D 5. n3 – 1 n=2 6. n=1
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