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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...
View ArticleAnswer 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...
View ArticleFinding 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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