Which one of the following series diverges?
A) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 1.0001 } }$

B) $\sum _ { n = 1 } ^ { \infty } \left( \frac { \pi } { 4 } \right) ^ { n }$

C) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n + e ^ { n } }$

D) $\sum _ { n = 1 } ^ { \infty } \frac { n + n ^ { 3 } } { n ^ { 4 } + 1 }$

E)None of these

Question

Which one of the following series diverges?
A) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 1.0001 } }$

B) $\sum _ { n = 1 } ^ { \infty } \left( \frac { \pi } { 4 } \right) ^ { n }$

C) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n + e ^ { n } }$

D)  $\sum _ { n = 1 } ^ { \infty } \frac { n + n ^ { 3 } } { n ^ { 4 } + 1 }$

E)None of these

Quizplus · Accepted Answer

The Answer of Which one of the following series diverges?
A) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 1.0001 } }$

B) $\sum _ { n = 1 } ^ { \infty } \left( \frac { \pi } { 4 } \right) ^ { n }$

C) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n + e ^ { n } }$

D)  $\sum _ { n = 1 } ^ { \infty } \frac { n + n ^ { 3 } } { n ^ { 4 } + 1 }$

E)None of these

Which One of the Following Series Diverges? A) ∑n=1∞1n1.0001\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 1.0001 } }∑n=1∞​n1.00011​