(a) This question will investigate power series, as an extension to the Binomial Theorem for negative and fractional indices. A power series in x is defined as a function of the form f(x) = ao + 2 x + azx2 + azx3+... where the ai E R. I It can be considered as an infinite polynomial. Expand (1 + x)5 using the Binomial Theorem. [3]
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