1. Let F: [-1,1] \rightarrow \mathbb{R} be $k+1$ times differentiable function. Write down the formula for the Lagrange Interpolational Polynomial $L_n(x)$ associated with the data $(x_i, F(x_i))$, $1 \le i \le k+1$ (what is the degree of the Lagrange Interpolational Polynomial in this case?); write down the bound, that we studied in the class, on the error $|F(x) - L_n(x)|$ and give/sketch a proof of this error bound.
