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anonymous

  • 5 years ago

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

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  1. dumbcow
    • 5 years ago
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    i would say diverge factorials grow much faster than exponential functions

  2. dumbcow
    • 5 years ago
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    if you evaluate sum even for only first 50 terms its already at like 3 X10^29

  3. anonymous
    • 5 years ago
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    well, you can evaluate it using the ratio test, but I'm not sure how to do all of the steps :/

  4. anonymous
    • 5 years ago
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    Yeah 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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