query: Evaluating the power series of arctan at x=1.
positive_passages.docid: 153009
positive_passages.text: Evaluating power series on the radius of convergence for $\tan^{-1}(x)$
negative_passages.docid: 92114
negative_passages.text: Approximating $\arctan x$ for large $|x|$
negative_passages.docid: 84181
negative_passages.text: Is there a cleaner proof of convergence for this almost-telescoping series
negative_passages.docid: 25065
negative_passages.text: What is $\arctan(x) + \arctan(y)$
negative_passages.docid: 92690
negative_passages.text: Infinite Series $\sum\limits_{n=0}^{\infty}\arctan(\frac{1}{F_{2n+1}})$
negative_passages.docid: 133073
negative_passages.text: Evaluating series with factorial denominator (sanity check).
negative_passages.docid: 59658
negative_passages.text: Are $\mathrm{arccot}(x)$ and $\arctan(1/x)$ the same function?
negative_passages.docid: 131621
negative_passages.text: Evaluating a product of tangents
negative_passages.docid: 156312
negative_passages.text: Taylor expansion for $\arcsin^2{x}$
negative_passages.docid: 33396
negative_passages.text: Generalizing a Trig Identity
negative_passages.docid: 26109
negative_passages.text: Show that $\arctan(n)$ is irrational for all $n \in \mathbb{N}$
negative_passages.docid: 120714
negative_passages.text: find the radius of convergence of the following power series
negative_passages.docid: 69803
negative_passages.text: An elementary proof of $\int_{0}^{1}\frac{\arctan x}{\sqrt{x(1-x^2)}}\,dx = \frac{1}{32}\sqrt{2\pi}\,\Gamma\left(\tfrac{1}{4}\right)^2$
negative_passages.docid: 74692
negative_passages.text: Simple Power Series Expansion for Problems similar to $f = (1 + \epsilon \,x)^{1/\epsilon}$
negative_passages.docid: 36128
negative_passages.text: Using differentiation for computing $\int_{0}^{1}\frac{\arctan(ax)}{x\sqrt{1-x^2}}\,dx$
negative_passages.docid: 107270
negative_passages.text: Calculate the following series using telescoping
negative_passages.docid: 117393
negative_passages.text: Behavior of ArcTan when two zeros are given as arguments