query: Closed form for $\sum_{n=1}^{\infty}\frac{x^n}{n!\sqrt{n}}$, or an asymptotic for it
positive_passages.docid: 144403
positive_passages.text: Limit $\lim_{x\rightarrow +\infty}\sqrt{x}e^{-x}\left(\sum_{k=1}^{\infty}\frac{x^{k}}{k!\sqrt{k}}\right)$
negative_passages.docid: 25395
negative_passages.text: Sum $\sum_{n=1}^\infty \frac{n^2}{(n+2)!}$
negative_passages.docid: 125933
negative_passages.text: On the series $\sum \limits_{n=2}^{\infty} \frac{(-1)^n}{n \log n}$
negative_passages.docid: 122024
negative_passages.text: Asymptotic of a sum involving binomial coefficients
negative_passages.docid: 69084
negative_passages.text: What is the closed form for $\sum_{n=1}^\infty \frac1n - \frac1{n+1/p}$?
negative_passages.docid: 17332
negative_passages.text: How to compute $\sum\limits_{n=1}^{\infty}\frac{1}{x^n-1}$?
negative_passages.docid: 129849
negative_passages.text: Convergence of the series $\sum_{n=1}^{\infty}\frac{e^n\,n!}{n^n}$
negative_passages.docid: 125813
negative_passages.text: Convergence of $ \sum_{n=1}^\infty\left(\exp(\frac{(-1)^n}{n})-1\right)$?
negative_passages.docid: 65653
negative_passages.text: Find a closed form of the series $\sum_{n=0}^{\infty} n^2x^n$
negative_passages.docid: 150148
negative_passages.text: Sum of $\sum^\infty_{n=2} \frac{1}{\ln{(n!)}}$
negative_passages.docid: 146651
negative_passages.text: Evaluting sum $\sum \limits_{n=0}^\infty\frac{n^k}{n!}$
negative_passages.docid: 140462
negative_passages.text: Find a closed form for the power series $f_p(x)=\sum\limits_{n=0}^\infty\frac{n^p}{n!}x^n$
negative_passages.docid: 5974
negative_passages.text: Evaluating $\lim\limits_{n\to\infty} e^{-n} \sum\limits_{k=0}^{n} \frac{n^k}{k!}$
negative_passages.docid: 49860
negative_passages.text: Determine the convergence of $\sum\limits_{n=2}^\infty \frac{\sqrt{n+1}}{n(n-1)}$
negative_passages.docid: 61850
negative_passages.text: Compute $\sum_{k=0}^{\infty}\frac{1}{2^{k!}}$
negative_passages.docid: 119606
negative_passages.text: Closed form of summation
negative_passages.docid: 76867
negative_passages.text: Does $\sum _{k=2} ^\infty \frac{(-1)^k}{\sqrt{k}+(-1)^k}$ converge conditionally?