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

question 290

Multiple Choice

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

• 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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