Which of the Following Series Converges?
1) $\sum _ { n = 1 } ^ { \infty } \left( \frac { n } { 2 + 3 n } \right) ^ { n }$

question 176

Multiple Choice

Which of the following series converges?
1) $\sum _ { n = 1 } ^ { \infty } \left( \frac { n } { 2 + 3 n } \right) ^ { n }$
2) $\sum _ { n = 2 } ^ { \infty } \frac { n + 1 } { \sqrt { n ^ { 4 } - 1 } }$
3) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 1 + n ^ { 2 } }$

• 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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