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anonymous
 4 years ago
does the series n^n/(n!*exp^n) converges or diverges? and how?
anonymous
 4 years ago
does the series n^n/(n!*exp^n) converges or diverges? and how?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0must converge, division by an increasing exponential will tend to 0

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but this does not mean converges

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0no but it means it dose not diverge either, a second test is required

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0it seems from the test of limit un not = 0 as n tends to infinity, for this one i got it wrong, it is divergent, there is no particular value that will ultimately be arrived at,

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1328823008077:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0it diverges but i could not prove it

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how i can prove that the limit is not zero

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes but must go now, if you look up D'alemberts ratio test for positive terms on the web you will see, its handy enough

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0could you give me the link

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0http://commons.activemath.org/ActiveMath2/main/viewBook.cmd?book=LeAM_calculusUniversityRec&page=68
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