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anonymous
 5 years ago
Infinite Series and Factorials question
anonymous
 5 years ago
Infinite Series and Factorials question

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Hey so there's this question in my textbook: \[\sum_{n=1}^{\infty} (2n!*x^n)/n!\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I was thinking I could simplify it by writing 2n! = 2^n*n!. Is this possible?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Because (2n)! = 2*4*6*8..(2n)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sorry I meant to type (2n)! instead of 2n!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what are you trying to find?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sorry  divergence vs convergence test

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ah use the ratio test. then it doesnt matter if it simplifies

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that's wrong! because (2n)!=(2n)*(2n1)*(2n2)...3*2*1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0k, got it. Thanks folks.
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