Question: Find a geometric power series for the function, centered at 0, by the following methods. f ( x ) = 4 5 +X (a) by

Find a geometric power series for the function, centered at 0, by the following methods. f ( x ) = 4 5 +X (a) by the technique shown in Examples 1 and 2 f ( x ) = 5 n = 0 X (b) by long division (Give the first three terms.) 4x 4x2 f(x) = 5' 25' 125 X

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