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Find the power series expansions for the following functions and specify for which x-values the expansion is valid.(a) f(x) 1 xHint: Rewrite 1 x =

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Find the power series expansions for the following functions and specify for which x-values the expansion is valid.(a) f(x) 1 xHint: Rewrite 1 x = 1 1 - (1 - x)(b) f(x) = 1 1 - 4x²(c) f(x) = x 2-x

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