Which of the Following Three Tests Will Establish That the Series

question 32

Multiple Choice

Which of the following three tests will establish that the series $\sum _ { n = 1 } ^ { \infty } \frac { 3 } { n ( n + 2 ) }$ converges?
1) Comparison Test with $\sum _ { n = 1 } ^ { \infty } 3 n ^ { - 2 }$
2) Limit Comparison Test with $\sum _ { n = 1 } ^ { \infty } n ^ { - 2 }$
3) Comparison Test with $\sum _ { n = 1 } ^ { \infty } 3 n ^ { - 1 }$

• 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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