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Which of the Three Series Below Converges?
1) n=21nlnn\sum _ { n = 2 } ^ { \infty } \frac { 1 } { n \ln n }

Question 50

Multiple Choice

Which of the three series below converges?
1) n=21nlnn\sum _ { n = 2 } ^ { \infty } \frac { 1 } { n \ln n }
2) n=11n(lnn) 2\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ( \ln n ) ^ { 2 } }
3) n=21n(lnn) 3\sum _ { n = 2 } ^ { \infty } \frac { 1 } { n ( \ln n ) ^ { 3 } }


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

Correct Answer:

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