$$\text { For which positive integers } k \text { is the series } \sum _ { n = 1 } ^ { \infty } \frac { ( n ! ) ^ { 5 } } { ( k n ) ! } \text { convergent? }$$

Name: \[\text { For which positive integers } k \text { is the series } \sum _ { n = 1 } ^ { \infty } \frac { ( n ! ) ^ { 5 } } { ( k n ) ! } \text { convergent? }\]
Brand: Quizplus
Rating: 4.8 (35 reviews)

Question

Quizplus · Accepted Answer

The Answer of $$\text { For which positive integers } k \text { is the series } \sum _ { n = 1 } ^ { \infty } \frac { ( n ! ) ^ { 5 } } { ( k n ) ! } \text { convergent? }$$