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anonymous
 5 years ago
Does the series converge or diverge?
Summation of n!/5^n
anonymous
 5 years ago
Does the series converge or diverge? Summation of n!/5^n

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i would say diverge factorials grow much faster than exponential functions

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if you evaluate sum even for only first 50 terms its already at like 3 X10^29

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well, you can evaluate it using the ratio test, but I'm not sure how to do all of the steps :/

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah ratio test confirms divergence. In the ration test you have (n+1)!/5^(n+1) divided by original one. This breaks down to (n+1)/5. Take limit. It goes to infinity. Infinity>0 diverge
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