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How can I use the Lagrange interpolation polynomial $p(x) = \sum_{i=0}^n ℓ_i(x)f(x_i)$ that interpolates $f(x)$ at distinct points: $x_0 , x_1, ..., x_n$ where $ℓ_i(x)$’s are cardinal functions to show that $\sum^n_{i=0}ℓ_i(x) = 1$, for all x?

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Use the interpolation polynomial on $f(x)=1$