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Question Number 122264 by mnjuly1970 last updated on 15/Nov/20

Commented by mr W last updated on 15/Nov/20

$${(1+x)}^n=\underset{k=0}{\sum ^n}\left({}_k^n\right)x^k$$$${(1-1)}^n=\underset{k=0}{\sum ^n}{(-1)}^k\left({}_k^n\right)=0$$$$\underset{n\to \mathrm{\infty }}{\lim }\left[\underset{k=0}{\sum ^n}{(-1)}^k\left({}_k^n\right)\right]=\underset{n\to \mathrm{\infty }}{\lim 0}=0$$

Commented by mnjuly1970 last updated on 15/Nov/20

$$thankyoumaster...$$

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