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

Question 64

Multiple Choice

Which of the following series converges?
1) n=1nln(n+1) \sum _ { n = 1 } ^ { \infty } \frac { n } { \ln ( n + 1 ) }
2) n=11[ln(n+1) ]2\sum _ { n = 1 } ^ { \infty } \frac { 1 } { [ \ln ( n + 1 ) ] ^ { 2 } }
3) n=11[ln(n+1) ]3\sum _ { n = 1 } ^ { \infty } \frac { 1 } { [ \ln ( n + 1 ) ] ^ { 3 } }


A) None
B) 1
C) 2
D) 3
E) 1, 2
F) 1, 3
G) 2, 3
H) 1, 2, 3

Correct Answer:

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