- #1
h.shin
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Homework Statement
Let a be a fixed positive rational number. Choose(and fix) a naural number M > a.
a) For any n[itex]\in[/itex]N with n[itex]\geq[/itex]M, show that (a^n)/(n!)[itex]\leq[/itex]((a/M)^(n-M))*(a^M)/(M!)
b)Use the previous prblem to show that, given e > 0, there exists an N[itex]\in[/itex][itex]N[/itex] such that for all n[itex]\geq[/itex]N, (a^n)/(n!) < e
Homework Equations
The Attempt at a Solution
I just don't really know where to start. Any hints? or suggestions?