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anonymous

  • 4 years ago

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

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  1. anonymous
    • 4 years ago
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    must converge, division by an increasing exponential will tend to 0

  2. anonymous
    • 4 years ago
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    but this does not mean converges

  3. anonymous
    • 4 years ago
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    no but it means it dose not diverge either, a second test is required

  4. anonymous
    • 4 years ago
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    so which test?

  5. anonymous
    • 4 years ago
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    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,

  6. anonymous
    • 4 years ago
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    |dw:1328823008077:dw|

  7. anonymous
    • 4 years ago
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    it diverges but i could not prove it

  8. anonymous
    • 4 years ago
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    how i can prove that the limit is not zero

  9. anonymous
    • 4 years ago
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    are you here?

  10. anonymous
    • 4 years ago
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    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

  11. anonymous
    • 4 years ago
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    could you give me the link

  12. anonymous
    • 4 years ago
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    thanks

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