Which one of the following series diverges?
A) $\sum _ { n = 1 } ^ { \infty } \frac { n } { e ^ { n } }$
B) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { 2 } { 3 } \right) ^ { n }$
C) $\sum _ { n = 1 } ^ { \infty } \frac { n + n ^ { 3 } } { n ^ { 4 } }$

D)$\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ( \ln n ) ^ { 2 } }$
E)None of these

Question

Which one of the following series diverges?
A) $\sum _ { n = 1 } ^ { \infty } \frac { n } { e ^ { n } }$ 
B) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { 2 } { 3 } \right) ^ { n }$ 
C) $\sum _ { n = 1 } ^ { \infty } \frac { n + n ^ { 3 } } { n ^ { 4 } }$

D)$\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ( \ln n ) ^ { 2 } }$
E)None of these

Quizplus · Accepted Answer

The Answer of Which one of the following series diverges?
A) $\sum _ { n = 1 } ^ { \infty } \frac { n } { e ^ { n } }$ 
B) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { 2 } { 3 } \right) ^ { n }$ 
C) $\sum _ { n = 1 } ^ { \infty } \frac { n + n ^ { 3 } } { n ^ { 4 } }$

D)$\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ( \ln n ) ^ { 2 } }$
E)None of these

Which One of the Following Series Diverges? A) ∑n=1∞nen\sum _ { n = 1 } ^ { \infty } \frac { n } { e ^ { n } }∑n=1∞​enn​

Which One of the Following Series Diverges?
A) $\sum _ { n = 1 } ^ { \infty } \frac { n } { e ^ { n } }$