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Homework Help: Root test.

  1. Nov 27, 2013 #1
    1. The problem statement, all variables and given/known data

    Ʃ ((n!)^n) /(4^(4n))

    2. Relevant equations

    Root test?

    3. The attempt at a solution

    Can you do .... the root test so then you will get rid of exponents n and you have

    (n!)/n^4 then take the limit and you get ∞ so the original sum is divergent?
  2. jcsd
  3. Nov 27, 2013 #2


    User Avatar
    Science Advisor
    Homework Helper

    Yes, you use the root test. But the nth root of 4^(4n) isn't n^4.
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