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Find a geometric power series for the function, centered at 0, by the following methods. f( x) = 1 2+x (a) by the technique shown

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Find a geometric power series for the function, centered at 0, by the following methods. f( x) = 1 2+x (a) by the technique shown in Examples 1 and 2 f( x ) = (b) by long division (Give the first three terms.) f( x ) =

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