Question: 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

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

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

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