Use any method to determine if the series converges or diverges. Give reasons for your answer.
Summation from n equals to infinity StartFraction left parenthesis n exclamation mark right parenthesis Superscript Over left parenthesis n right parenthesis exclamation mark EndFractionnnn
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Part
Select the correct choice below and fill in the answer box to complete your choice.
Type an exact answer.
A
The series converges because the limit used in the nthTerm Test is
enter your response here.
B
The series
divergesdiverges
because the limit used in the Ratio test is
enter your response heregreater than
C
The series
convergesconverges
because the limit used in the Ratio Test is
enter your response hereless than
D
The series converges because the limit used in the Root Test is
enter your response hereless than
E
The series diverges because the limit used in the Root Test is
enter your response heregreater than
