Question: Express (approximately) the $mathrm{y}=2 sin mathrm{x}$ function at $x_{0}=0$ with the Taylor Series expansion, using two, four, six and eight terms (for each $n$ ).

$Express (approximately) the $\mathrm{y}=2 \sin \mathrm{x}$ function at $x_{0}=0$ with the$

Express (approximately) the $\mathrm{y}=2 \sin \mathrm{x}$ function at $x_{0}=0$ with the Taylor Series expansion, using two, four, six and eight terms (for each $n$ ). At $x=\pi / 5$ point, find the approximate values of the function (for each $n$ state $(2,4,6,8)$ and find the spline error estimation. CS.VS. 1723

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