Question: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] also find the associated radius of convergence.
a. f(x) = (1 - x)-2
b. f(x) = sin (x
c. f(x) = 2x

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