Question: (a) Let k be any real number and a < 1. Show that the function (1+x)k has the following power series representation (1 +

(a) Let k be any real number and a < 1. Show

(a) Let k be any real number and a < 1. Show that the function (1+x)k has the following power series representation (1 + x) = (h)a = 1+ kx + ? -x + k(k-1) 2! n=0 The above series is called the Binomial series. k(k-1)(k-2) 3! -2 +

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