Prove that if (f) is a polynomial of degree (p) then [f(x+delta)=sum_{i=1}^{p} frac{delta^{i} f^{(i)}}{i !}]

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Prove that if \(f\) is a polynomial of degree \(p\) then

\[f(x+\delta)=\sum_{i=1}^{p} \frac{\delta^{i} f^{(i)}}{i !}\]

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