query: Taylor series of $\sqrt{1+x}$
positive_passages.docid: 28723
positive_passages.text: Taylor series of $\sqrt{1+x}$ using sigma notation
negative_passages.docid: 128608
negative_passages.text: Closed form for the series $a+a^p+(a^p)^p+\dots$
negative_passages.docid: 47575
negative_passages.text: Compute the limit of $\sqrt{1-a}\sum\limits_{n=0}^{+\infty} a^{n^2}$ when $a\to1^-$
negative_passages.docid: 76050
negative_passages.text: Test for convergence of the series $\sum_{n=1}^{\infty}\frac{n}{\sqrt{n^2 +1}}$
negative_passages.docid: 131276
negative_passages.text: Maclaurin series of $\ln(1-x+x^2)$
negative_passages.docid: 84159
negative_passages.text: The sum to n terms of the series $\frac{1}{\sqrt 1+\sqrt 3} + \frac{1}{\sqrt 3 +\sqrt 5} ....$
negative_passages.docid: 28378
negative_passages.text: Find the infinite sum of the series $\sum_{n=1}^\infty \frac{1}{n^2 +1}$
negative_passages.docid: 132613
negative_passages.text: Testing the series $\sum\limits_{n=1}^{\infty} \frac{1}{n^{k + \cos{n}}}$
negative_passages.docid: 90696
negative_passages.text: Series in Real Analysis
negative_passages.docid: 116014
negative_passages.text: Write $\frac {1}{1+z^2}$ as a power series centered at $z_0=1$
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: 42192
negative_passages.text: Bernoulli numbers, taylor series expansion of tan x
negative_passages.docid: 77821
negative_passages.text: Taylor series expansion of function $f(x) = \frac{\arcsin(x)}{\sqrt{1-x^2}}$
negative_passages.docid: 43320
negative_passages.text: Find the sum of the power series $\sum_{n=1}^\infty n*(n+1)*x^n$
negative_passages.docid: 40464
negative_passages.text: Find series representation of a function $ y=\frac{1}{1+x+x^{2}+x^{3}} $
negative_passages.docid: 15205
negative_passages.text: Proving that the series 1 + ... + $1 / \sqrt{x}$ < $2 \sqrt{x}$
negative_passages.docid: 129733
negative_passages.text: Taylor serie of exponential function is not uniformly convergent on R+