Which of the Three Series Below Converges?
1)$\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { \sqrt [ 5 ] { n ^ { 4 } } } + \frac { 2 } { n ^ { 3 } } \right)$

Question

Which of the Three Series Below Converges? 
1)$\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { \sqrt [ 5 ] { n ^ { 4 } } } + \frac { 2 } { n ^ { 3 } } \right)$

Examlex · Accepted Answer

The Answer of Which of the Three Series Below Converges? 
1)$\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { \sqrt [ 5 ] { n ^ { 4 } } } + \frac { 2 } { n ^ { 3 } } \right)$

Which of the Three Series Below Converges?
1) $\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { \sqrt [ 5 ] { n ^ { 4 } } } + \frac { 2 } { n ^ { 3 } } \right)$

Definitions:

Which of the Three Series Below Converges? 1) ∑n=1∞(1n45+2n3)\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { \sqrt [ 5 ] { n ^ { 4 } } } + \frac { 2 } { n ^ { 3 } } \right)∑n=1∞​(5n4​1​+n32​)

Definitions:

Which of the Three Series Below Converges?
1) $\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { \sqrt [ 5 ] { n ^ { 4 } } } + \frac { 2 } { n ^ { 3 } } \right)$