query: Taylor series of $\ln\frac{1+x}{1-x}$
positive_passages.docid: 21993
positive_passages.text: Taylor Expansion $\log(\frac{1+z}{1-z})$
negative_passages.docid: 3424
negative_passages.text: Use taylor series to arrive at the expression f'(x)=1/h[-3*f(x)/2+2f(x+h)-f(x+2h)/2]
negative_passages.docid: 94843
negative_passages.text: What is the Taylor series of a square root?
negative_passages.docid: 106812
negative_passages.text: Find $\int_{0}^{\infty} \frac{\ln(x)}{1+x^2}dx$
negative_passages.docid: 119410
negative_passages.text: Solution of $\int_0^\infty\frac{\ln(1+{x^2})}{1+{x^2}}$
negative_passages.docid: 17996
negative_passages.text: Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
negative_passages.docid: 59481
negative_passages.text: Even and odd functions for Taylor serie
negative_passages.docid: 98371
negative_passages.text: Convergence of the $e^x$ Taylor series
negative_passages.docid: 61998
negative_passages.text: Multiplying Taylor series and composition
negative_passages.docid: 109416
negative_passages.text: How to calculate $\int_0^1 \frac{\ln(1-x)}{x} dx$?
negative_passages.docid: 27195
negative_passages.text: Evaluating $\int_{0}^{1}\frac{1-x}{1+x}\frac{\mathrm dx}{\ln x}$
negative_passages.docid: 122169
negative_passages.text: Prove $\sin(\pi/2)=1$ using Taylor series
negative_passages.docid: 51231
negative_passages.text: Find the limit of $\frac{n^{x}}{(1 + x)^{n}}$
negative_passages.docid: 131276
negative_passages.text: Maclaurin series of $\ln(1-x+x^2)$
negative_passages.docid: 78167
negative_passages.text: Show that the series $\sum\limits_{n=2}^{\infty} \frac {(n^3+1)^{1/3}-n}{\log n}$ converges
negative_passages.docid: 79415
negative_passages.text: The series $\sum_{n=2}^{\infty }\frac{1}{\log (n!)}$
negative_passages.docid: 34736
negative_passages.text: Convergence of series involving in iterated logarithms $\sum \frac{1}{n(\log n)^{\alpha_1}\cdots (\log^k(n))^{\alpha_k} }$