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I am trying to find the following limit.
\[\lim_{n \rightarrow \inf} \frac{ 2(n!) }{ (-6)^n }\]

Factorial will grow much much bigger than any exponential growth (after some point).

Is it because the factorial is multiplied by 2?

I was under the assumption that the (-6)^n would grow faster than the factorial.

Then I guess the limit diverges to both negative and positive infinity.

Yes:)
positive and negative infinity, because it alternates.

Alright, Thanks. I guess my understand of factorials are a bit off.

thx i learned something new just by watching lol

You would then agree that the numerator is greater, right?

I do agree that the numerator is greater.

(not necessarily n=1, but that series)

yep

Anyway, good luck....

Thanks for the help. It really made since. I am now making forward progress on my assignments.

Good to hear that:)

be well