query: Laurent Series of $1/\tan z$
positive_passages.docid: 158235
positive_passages.text: Laurent Series for $\cot(\pi z)$
negative_passages.docid: 68550
negative_passages.text: What is the radius of convergence of the Taylor series of $\frac{2\tan x}{1+4x^2}$ around $x=0?$
negative_passages.docid: 103328
negative_passages.text: Rational Roots of Riemann's $\zeta$ Function
negative_passages.docid: 117691
negative_passages.text: Taylor series $\frac{z^2+z}{(z-1)^2}$ at $z=-1$
negative_passages.docid: 140983
negative_passages.text: $ \tan 1^\circ \cdot \tan 2^\circ \cdot \tan 3^\circ \cdots \tan 89^\circ$
negative_passages.docid: 121128
negative_passages.text: Calculating a Residue at one of the poles of $\frac{1}{1+z^n}$
negative_passages.docid: 26908
negative_passages.text: Partial Sums of Geometric Series
negative_passages.docid: 116630
negative_passages.text: Antiderivative $1/z$ on $\mathbb C$
negative_passages.docid: 54059
negative_passages.text: Showing that $\frac{z^n}{1+z^{2n}}$ is real for $|z|=1$.
negative_passages.docid: 53857
negative_passages.text: Showing $\sup \{ \sin n \mid n\in \mathbb N \} =1$
negative_passages.docid: 126762
negative_passages.text: taylor series of $\ln(1+x)$?
negative_passages.docid: 108872
negative_passages.text: Residues of $z^2\sin(\frac{1}{z})$
negative_passages.docid: 3475
negative_passages.text: Hadamard Product of $e^z-1$
negative_passages.docid: 77470
negative_passages.text: Find modulus of $\frac{|z_1-z_2|}{|1-(z_1)(\overline{z_2})|}$
negative_passages.docid: 53713
negative_passages.text: Accumulation Points for $S = \{(-1)^n + \frac1n \mid n \in \mathbb{N}\}$
negative_passages.docid: 114777
negative_passages.text: Using Rouché's theorem to bound zeroes of partial sums of $e^z$
negative_passages.docid: 105238
negative_passages.text: Proving $\tan(\theta_1+\theta_2+\cdots+\theta_n)$ has the form $\frac{S_1-S_3+S_5+\cdots}{1-S_2+S_4+\cdots}$