query: Does the harmonic series converge if you throw out the terms containing a $9$?
positive_passages.docid: 18064
positive_passages.text: Sum of reciprocals of numbers with certain terms omitted
negative_passages.docid: 25503
negative_passages.text: Convergence of $\sum_{n=1}^\infty \frac{\sin^2(n)}{n}$
negative_passages.docid: 78101
negative_passages.text: Does $\sum\frac{\sin n}{n}$ converge?
negative_passages.docid: 125341
negative_passages.text: Does $\sum_{n=1}^{\infty} \frac{1}{n+1}$ converge?
negative_passages.docid: 76867
negative_passages.text: Does $\sum _{k=2} ^\infty \frac{(-1)^k}{\sqrt{k}+(-1)^k}$ converge conditionally?
negative_passages.docid: 147930
negative_passages.text: Does $\sum_{n=1}^{\infty}\frac {\sin{\frac 1 n}} {\sqrt n}$ converge?
negative_passages.docid: 119143
negative_passages.text: Convergence of series with ^(n+1)
negative_passages.docid: 90106
negative_passages.text: Why this :$\sum\limits_{n=1}^\infty\frac1{n\sin n}$ is not harmonic series and is convergent?
negative_passages.docid: 109718
negative_passages.text: Does $\sum \limits_{n=1}^\infty\frac{\sin n}{n}(1+\frac{1}{2}+\cdots+\frac{1}{n})$ converge (absolutely)?
negative_passages.docid: 123530
negative_passages.text: How to test for convergence for the harmonic series with irregular (binomial) sign changes?
negative_passages.docid: 126264
negative_passages.text: Does the series $\sum \limits _{n=0}^{\infty} \cos(n\pi)$ converge or diverge?
negative_passages.docid: 95353
negative_passages.text: Does $\sum_{n=1}^\infty \frac{\cos{(\sqrt{n})}}{n}$ converge?
negative_passages.docid: 83064
negative_passages.text: Is the Series Sin(k)/k Absolutely Convergent?
negative_passages.docid: 54376
negative_passages.text: Convergence of the series $\sqrt[n]n-1$
negative_passages.docid: 63289
negative_passages.text: Does $\sum\limits_{x=1}^\infty\sin(x)$ converge?
negative_passages.docid: 86353
negative_passages.text: when is this series convergent.
negative_passages.docid: 6345
negative_passages.text: Is the $\sum\sin(n)/n$ convergent or divergent?