Which of the Following Three Tests Will Establish That the Series

question 125

Multiple Choice

Which of the following three tests will establish that the series $\sum _ { n = 1 } ^ { \infty } \frac { n } { \sqrt { 2 n ^ { 5 } + 1 } }$ converges?
1) Comparison Test with $\sum _ { n = 1 } ^ { \infty } n ^ { - 5 / 2 }$
2) Comparison Test with $\sum _ { n = 1 } ^ { \infty } n ^ { - 3 / 2 }$
3) Comparison Test with $\sum _ { n = 1 } ^ { \infty } n ^ { - 1 / 2 }$

• 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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