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 !!

#MethodOfDifferences #VeryInteresting

Easy Math Editor

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$