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Answer by Timbuc for Finding Taylor polynomial for fractional function

An idea:$$f(x)=\frac x{9+x^2}=\frac12\;\frac{\frac29x}{1+\frac{x^2}9}\implies$$$$ \int...

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Answer by Auslander for Finding Taylor polynomial for fractional function

Here are a few pointers: First, find the Taylor polynomial for $\frac{1}{1-x}$. The geometric series should be of some use! And you can find an explicit formula for the error term too. Use this to find...

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Finding Taylor polynomial for fractional function

I should find Taylor polynomial of a degree $n \in \mathbb{N}$ for function $f(x) =\frac{x}{9+x^2}$ at the point of 0.For which $x \in \mathbb{R}$ this polynomial converges to the given function $f$...

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