query: Convergence of series $\sum 1/n$ such that this decimal expression doesn't contain 5.
positive_passages.docid: 149599
positive_passages.text: Variation of the Kempner series – convergence of series $\sum\frac{1}{n}$ where $9$ is not a digit of $1/n$.
negative_passages.docid: 145582
negative_passages.text: $\sum (-1)^n/n$ fails the p-series test, but passes the alternating series test?
negative_passages.docid: 50087
negative_passages.text: Convergence of $a_{n+1}=\frac{1}{1+a_n}$
negative_passages.docid: 87900
negative_passages.text: Does $\frac{n}{\sum\limits_{k=1}^{n}\Big(\frac{k}{k+1}\Big)^k}$ converge?
negative_passages.docid: 24813
negative_passages.text: Show a convergent series $\sum a_n$, but $\sum a_n^p$ is not convergent
negative_passages.docid: 3974
negative_passages.text: convergence of $\sum_{n=1}^{\infty }\frac{(-1)^{[\sqrt{n}]}}{n}$ where $[a]$ means floor function of $a$
negative_passages.docid: 126656
negative_passages.text: Convergence or divergence of $\sum\limits_n(-1)^{\pi(n)}\frac1n$ where $\pi(n)$ is the number of primes less than or equal to $n$
negative_passages.docid: 109960
negative_passages.text: $\sum _{1}^{\infty}a_n^2/n$ converges then $(1/N)\sum_{1}^{N}a_n$ converges to zero.
negative_passages.docid: 17048
negative_passages.text: $\sum_{n=1}^\infty\frac{z^n}{n}$ does not converge uniformly on $\mathbb{D}$.
negative_passages.docid: 80465
negative_passages.text: Convergence/Divergence of $\sum_{n=1}^{\infty} \sin(1/n)$
negative_passages.docid: 76434
negative_passages.text: What is the measure of the set of numbers in $[0,1]$ whose decimal expansions do not contain $5$?
negative_passages.docid: 7727
negative_passages.text: Convergence of series $\sum_{n=1}^\infty\sin(n)\cdot\sin(1/n)$
negative_passages.docid: 125813
negative_passages.text: Convergence of $ \sum_{n=1}^\infty\left(\exp(\frac{(-1)^n}{n})-1\right)$?
negative_passages.docid: 75640
negative_passages.text: Does the harmonic series converge if you throw out the terms containing a $9$?
negative_passages.docid: 86353
negative_passages.text: when is this series convergent.
negative_passages.docid: 52177
negative_passages.text: divergence/convergence $\sum_{k=1}^{\infty} \frac{1}{5k+2}$
negative_passages.docid: 30439
negative_passages.text: Convergence of $\sum_{n=1}^{\infty}\frac{1}{n^\alpha}$