al-Suppose that (-1) x) - P.(x) = kn) !! **. - 5 SxS 10. 0 Write a python function to compute P.(x), where t > 1 use a for loop, vectorized, recursive approach [b] Generate a plot showing P.(x) for n=0,1,2,3,4 on the same graph. Use different colors for each different n. You should provide a legend and labeled the axes Icl Provide an expression for P(x). P(x) and (x); this can be obtained by replacing with 0.1 and 2 respectively in P.Cx) above. Compare your expression for Pocx), P(x) and (x) with the graph you generate in part babove. Discussit the graph is consistent with your expression for P(x). P(x) and (x)