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Which of the Following Series Converges?
1) n=1(1n+2n3)\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) n=1(1n+2n3) \sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { \sqrt { n } } + \frac { 2 } { n ^ { 3 } } \right)
2) n=1(1n1n+1) \sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { n } - \frac { 1 } { n + 1 } \right)
3) n=1cos(1/n) n2\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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