Does sum (n!)/(n^n) converge? - Week 3 - Lecture 4 - Sequences and Series

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  1. Jim Fowler
  2. mathematics
  3. calculus
  4. mooculus
  5. math
  6. maths
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Комментарии
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I really enjoy listening and watching you Jim, You are awesome

aleksandarlukac
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I came to see how to solve the limit, but I stayed because I saw that the way you hold your pen is the same way I do it. First person I've ever seen do it the same way as me.

johnmoore
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very easy understand thanks to your explanation

상민-gt
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Answer: the ratio test fails in this case since the limit is 1 for that final series.

tylershepard
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Ratio test fails in that case.

Thank u.sir
Perfect explanation.

pavithram.
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So what's the answer to the question? How do you prove that the series indicated is divergent?

ralu
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Sir one doubt sum n! x^n/n^n diverges ?

nancyangel
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for the first problem n!/n^n if there was a constant "a" in the series, so an!/n^n could this constant cause the series to diverge? example: 6n!/n^n. taking the limit = 6/e >1 divergent by ratio test correct?

zydrunassavickas