Find a geometric power series for the function, centered at 0, by the following methods. A( x) = = 3 + X (a) by the technique shown in Examples 1 and 2 A(x) = > (-1)x 3" + 1 n = 0 X (b) by long division (Give the first three terms.) f( x ) = 1 +Find a geometric power series for the function, centered at 0, by the following methods. f(x) = - 6 7 - X (a) by the technique shown in Examples 1 and 2 R( x ) = n = X (b) by long division (Give the first three terms.) (( x) =