Which of the following series converges?
1) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } n } { n + 1 }$
2) $\sum _ { n = 1 } ^ { \infty } \frac { \sqrt { n + 1 } } { n ^ { 2 } + 2 }$
3) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { \sqrt { n + 1 } }$
A)None
B)1
C)2
D)3
E)1, 2
F)1, 3
G)2, 3
H)1, 2, 3

Question

Which of the following series converges?
1) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } n } { n + 1 }$ 
2) $\sum _ { n = 1 } ^ { \infty } \frac { \sqrt { n + 1 } } { n ^ { 2 } + 2 }$ 
3) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { \sqrt { n + 1 } }$ 
A)None
B)1
C)2
D)3
E)1, 2
F)1, 3
G)2, 3
H)1, 2, 3

Quizplus · Accepted Answer

The Answer of Which of the following series converges?
1) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } n } { n + 1 }$ 
2) $\sum _ { n = 1 } ^ { \infty } \frac { \sqrt { n + 1 } } { n ^ { 2 } + 2 }$ 
3) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { \sqrt { n + 1 } }$ 
A)None
B)1
C)2
D)3
E)1, 2
F)1, 3
G)2, 3
H)1, 2, 3

Which of the Following Series Converges? 1) ∑n=1∞(−1)nnn+1\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } n } { n + 1 }∑n=1∞​n+1(−1)nn​

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