vikkisut88
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Homework Statement
Prove that lim n \rightarrow\infty 2^{}n/n! = 0
Homework Equations
This implies that 2^{}n/n! is a null sequence and so therefore this must hold:
(\forall E >0)(\existsN E N^{}+)(\foralln E N^{}+)[(n > N) \Rightarrow (|a_{}n| < E)
The Attempt at a Solution
Whenever I have proved these before I have tried to eliminate n from the top and then use Archimedian Principle to finsih off the proof. However I don't know how to do this in this case. I have the idea that 2/k \leq2/3 for any k\geq3