query: Is there any known value for $\sum_{n=1}^{\infty}\frac{1}{1+n!}$?
positive_passages.docid: 157001
positive_passages.text: Are there clever ways to evaluate this infinite series?
negative_passages.docid: 42216
negative_passages.text: Sum of infinite series $\sum_{i=1}^{\infty} \frac 1 {i(i+1)(i+2)...(i+n)}$
negative_passages.docid: 146651
negative_passages.text: Evaluting sum $\sum \limits_{n=0}^\infty\frac{n^k}{n!}$
negative_passages.docid: 129801
negative_passages.text: Finding a closed form for $\sum^{n}_{k=1} \frac{k}{(k+1)!} $
negative_passages.docid: 36674
negative_passages.text: Summation of series $\sum_{n=1}^\infty \frac{n^a}{b^n}$?
negative_passages.docid: 37007
negative_passages.text: Evaluating $\sum_{k=1}^{n} \frac{1}{k(k+1)}$
negative_passages.docid: 121337
negative_passages.text: Divergence of $\sum_{n=1}^{\infty} \frac{1}{2+i^n}$?
negative_passages.docid: 79415
negative_passages.text: The series $\sum_{n=2}^{\infty }\frac{1}{\log (n!)}$
negative_passages.docid: 9124
negative_passages.text: Find the exact value of the infinite sum $\sum_{n=1}^\infty \big\{\mathrm{e}-\big(1+\frac1n\big)^{n}\big\}$
negative_passages.docid: 93690
negative_passages.text: How to obtain the sum of the following series? $\sum_{n=1}^\infty{\frac{n^2}{2^n}}$
negative_passages.docid: 24033
negative_passages.text: Infinite Series $\sum\limits_{k=1}^{\infty}\frac{k^n}{k!}$
negative_passages.docid: 121554
negative_passages.text: Finding $\sum\frac{1}{2^n(n+1)}$
negative_passages.docid: 125915
negative_passages.text: An Infinite Double Summation $\sum_{k=1}^{\infty} \sum_{n=1}^{\infty} \frac{1}{n^2k^2(n+k)^2}$?
negative_passages.docid: 107789
negative_passages.text: Sum of $\sum \limits_{n=0}^{\infty} \frac{1}{(kn)!}$
negative_passages.docid: 17056
negative_passages.text: How to find answer to the sum of series $\sum_{n=1}^{\infty}\frac{n}{2^n} $
negative_passages.docid: 71824
negative_passages.text: Finding the sum of the series $\frac{1}{1!}+\frac{1+2}{2!}+\frac{1+2+3}{3!}+ \ldots$
negative_passages.docid: 91784
negative_passages.text: Calculating $\sum_{n=1}^\infty {\frac{1}{2^nn(3n-1)}}$