Which of the Following Series Will, When Rearranged, Converge to Different

question 119

Multiple Choice

Which of the following series will, when rearranged, converge to different values?
1) $\sum _ { n = 1 } ^ { \infty } n ^ { - 1 }$
2) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } n ^ { - 1 }$
3) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } n ^ { - 2 }$

• A)None
• B)1
• C)2
• D)3
• E)1, 2
• F)1, 3
• G)2, 3
• H)1, 2, 3

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