Prove whether the following sequence converges or diverges.
Since it is a sequence I cannot use any of the tests used for series. Any help would be appreciated.
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If then .
What should that tell you?
Originally Posted by Plato If then .
What should that tell you? Yeah I know the sequence goes to infinity and that factorials grow much faster than exponentials but is there some other way to prove it? Like taking a limit or is this the only way?
The fact that f(n) > g(n) does not determine whether exists. However, it is easy to show that becomes arbitrarily large.
I know the sequence goes to infinity
This is a synonym for "diverges".
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