80. Show that lim n en n k=0 nk k! = 1 2 Hint: Let Xn be
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80. Show that lim n→∞ e−n n k=0 nk k! = 1 2
Hint: Let Xn be Poisson with mean n. Use the central limit theorem to show that P{Xn ≤ n} → 1 2 .
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