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5. Stirlings approximation gives an approximate value for the factorial n! n! xVannne-n n! V2πηηe-n which means that lim Moreover. V2rnnne--+ 1/(12叶1) < n! < V2mne-n+1/12n for all n>1 . a- Show that lim b- We toss a fair coin 100 times. Find an approximate value for the following probability P(we get exactly 50 heads ).

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r) 1.1N)İ.し @r)) ! ニ 312- ォn 2n log2 - 3

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