Find a power series representation centered at 0 for the given function using known power series. 6) a) f(x) = 1 b ) f (x ) = e9x c) f(x) = In(1 - x2) 1 - x3 Use power series operations to find the Taylor series at x = 0 for the given function. 7) a) f(x) = xbex b) f(x) = x4 sin x c) f(x) =1 1 - 9x d) f(x) = tan (8x) e) f(x) = xo In(1 + 4x) f) f(x) = x8e8x