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Mathematics Stack Exchange

Questions tagged [euler-maclaurin]

Questions about the Euler-Maclaurin summation formula. For questions about Euler's formula, consider using the tag (complex-numbers) instead. For questions about Maclaurin series, use (taylor-expansion).

Questions about the Euler-Maclaurin summation formula. For questions about Euler's formula, consider using the tag instead. For questions about Maclaurin series, use .

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127 questions
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10th derivative by MacLaurin

I'm sorry for my language. English is not my first language. I'm trying to find $$f^{(10)}(0)\;\;\text{when}\;\;f(x)=\frac{1}{2+x}$$ by using MacLaurin. The answer is: $$f^{(10)}(0)=\frac{10!}{2^{11}}$$ Wolfram Alpha gives the…
user9060784
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How to find value of arctan using Maclaurin

I need to find $\arctan(3)$ and before this, I'm asked to find the Maclaurin series for $\arctan(x)$, so I know they must be related. But $\arctan(x)$ is defined with $x \in [-1,1]$ so what can I do?
Lola
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What is the relation between restoring force and maclaurin series?

I have seen in some of the books any kind of restoring force can be expressed in maclaurins series about the equilibrium position. And they always seem to pick the second term as the first one is equilibrium and the rest are negligible. I dont…
F.sharmin
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Maclaurin series expansion of $f(x) = \ln(3x^2 +4x +1)$

Can someone please explain how I do the following Maclaurin series? $$f(x) = \ln(3x^2 +4x +1)$$
Lexi Driomova
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