1. The problem statement, all variables and given/known data 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 2. Relevant equations 3. The attempt at a solution I just don't really know where to start. Any hints? or suggestions?