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# hmm.... interesting!

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 !!

Note by Abhinav Raichur
1 year, 10 months ago