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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