For Which Positive Integers K Is the Series $\sum _ { n = 1 } ^ { \infty } \frac { ( n ! ) ^ { 4 } } { ( k n ! ) }$

question 156

Multiple Choice

For which positive integers k is the series $\sum _ { n = 1 } ^ { \infty } \frac { ( n ! ) ^ { 4 } } { ( k n ! ) }$ convergent?

• A) \(k \geq 4\)
• B) \(k \leq - 4\)
• C) \(k \leq 0\)
• D) \(k \geq 0\)
• E) \(k \geq 1\)

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