3is it zero.
\lim_{n\rightarrow infinity } n_{C_{x}}\left(\frac{m}{n} \right)^{x}\left(1-\frac{m}{n} \right)^{n-x}
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4 Answers
1The answer is 0
The given thing is xthterm of \lim_{n\rightarrow inf}\left[ \left( 1-\frac{m}{n}\right)+\frac{m}{n}\right]^{n}
=1n
=1
Infinite terms of the sequence add up to 1, so each of them tends to 0
So the answer is 0
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