hello FRndzz........ consider a function f(x) which satisfies all necessary conditions such that there exist a taylor approximation for it{say g(x)}.

given a set of \(x_{1}\), \(x_{2}\), ........ \(x_{n}\) and \(g_{1}\), \(g_{2}\) ...... \(g_{n}\) such that
g( \(x_{i}\) ) = \(g_{i}\) .......... can you find the degree{say 'T'} of the approximated **taylor polynomial, using given data.**

**assumptions**

\(x_{1}\), \(x_{2}\) ........ \(x_{n}\) are in arithmetic progression.
...also **n>T**

give different approaches !! and enjoy !!

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