Show Limit of Function: Find $\lim_{n \to \infty} = 1$

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dakongyi
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Homework Statement


how to show [tex]\lim_{n \to \infty}\frac{\sum_{v=0}^{k}(-1)^v{k \choose v}e^{\sqrt{n-v}}}{2^{-k}n^{-\frac{1}{2}k}e^{\sqrt{n}}}=1[/tex], where [tex]n \geq k[/tex]


Homework Equations


NIL


The Attempt at a Solution


I have absolutely no idea how to start.
 
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I'm guessing you have some typos up there. E.g. try it with k=1 - the limit isn't going to be 1.