Let f:R to R be a continuous function at x0,x1,..,xn.

Last updated: 8/13/2022

Let f:R to R be a continuous function at x0,x1,..,xn. Alberto states: Since fis continuous, then there exists a unique polynomial P of degree n such that P(xi)=f(xi), for i=0,1,...,n. If you agree with Alberto, prove it. Otherwise an example