Use the Cauchy formula together with Rodrigues formula to write P(x) as a contour integral in the complex plane. Take the contour to be a circle of radius x - 1, and hence obtain the integral expression: P(x)= Note: Recall the Cauchy formula: x + x 1 cos )' d - n! f(n) (2)\z=a f(w) dw if za lies within C. = 2ni (w-z)n+1