anonymous
  • anonymous
does the series n^n/(n!*exp^n) converges or diverges? and how?
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
must converge, division by an increasing exponential will tend to 0
anonymous
  • anonymous
but this does not mean converges
anonymous
  • anonymous
no but it means it dose not diverge either, a second test is required

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anonymous
  • anonymous
so which test?
anonymous
  • anonymous
it 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
  • anonymous
|dw:1328823008077:dw|
anonymous
  • anonymous
it diverges but i could not prove it
anonymous
  • anonymous
how i can prove that the limit is not zero
anonymous
  • anonymous
are you here?
anonymous
  • anonymous
yes 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
  • anonymous
could you give me the link
anonymous
  • anonymous
http://commons.activemath.org/ActiveMath2/main/viewBook.cmd?book=LeAM_calculusUniversityRec&page=68
anonymous
  • anonymous
thanks

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