lagrange and newton interpolation code

Given f(x)=(e^x )/x^2 "on" [2,3] Let h=0.1 , Let z=2.375 Estimate f using Lagrang interpolating poly, show a list of the estimations p_1 (z),p_2 (z),p_3 (z),p_4 (z),… Newton interpolating poly, show a list of a_0,a_1,a_2,…a_n Show a list of p_1 (z),p_2 (z)… Use 12 digits arithematics