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Examine the Two Series Below for Absolute Convergence (A), Convergence $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } n ^ { - 1 }$

Question 161

Multiple Choice

Examine the two series below for absolute convergence (A) , convergence that is not absolute (C) , or divergence (D) .
1) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } n ^ { - 1 }$
2) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } n ^ { - 2 }$

A) 1A, 2A
B) 1A, 2C
C) 1A, 2D
D) 1C, 2A
E) 1C, 2C
F) 1C, 2D
G) 1D, 2A
H) 1D, 2C

Examine the Two Series Below for Absolute Convergence (A), Convergence ∑n=1∞(−1)n−1n−1\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } n ^ { - 1 }∑n=1∞​(−1)n−1n−1

Multiple Choice

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Examine the Two Series Below for Absolute Convergence (A), Convergence $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } n ^ { - 1 }$

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