anonymous
  • anonymous
Infinite Series and Factorials question
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Hey so there's this question in my textbook: \[\sum_{n=1}^{\infty} (2n!*x^n)/n!\]
anonymous
  • anonymous
I was thinking I could simplify it by writing 2n! = 2^n*n!. Is this possible?
anonymous
  • anonymous
Because (2n)! = 2*4*6*8..(2n)

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anonymous
  • anonymous
Sorry I meant to type (2n)! instead of 2n!
anonymous
  • anonymous
what are you trying to find?
anonymous
  • anonymous
Sorry - divergence vs convergence test
anonymous
  • anonymous
ah use the ratio test. then it doesnt matter if it simplifies
anonymous
  • anonymous
that's wrong! because (2n)!=(2n)*(2n-1)*(2n-2)...3*2*1
anonymous
  • anonymous
Oh right!
anonymous
  • anonymous
k, got it. Thanks folks.
anonymous
  • anonymous
you're welcome :)

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