2. Use the Binomial Formula to prove each of the following. (a) 2n = L~=o (~) for...

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2. Use the Binomial Formula to prove each of the following.

(a) 2n = L~=o (~) for all n E N.

(b) (a + b)n ;::: an + nan-lb for all n E N and

a, b ;::: O.

(c) (1 + l/n)n ;::: 2 for all n E N.

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