query: Evaluating an infinite series $\sum_{n=1}^{\infty} \frac{1}{n^{2}2^{n}}$
positive_passages.docid: 142218
positive_passages.text: $\sum_{n=1}^{\infty}\frac{1}{n^22^n}$ by integration or differentiation
negative_passages.docid: 67752
negative_passages.text: Show that $\sum_{n = 1}^{+\infty} \frac{n}{2^n} = 2$
negative_passages.docid: 74120
negative_passages.text: Find the value of $\sum_{n=1}^{\infty} \frac{2}{n}-\frac{4}{2n+1}$
negative_passages.docid: 151477
negative_passages.text: computing the series $\sum_{n=1}^\infty \frac{1}{n^2 2^n}$
negative_passages.docid: 47572
negative_passages.text: Evaluate $ \sum_{n=1}^{\infty} \frac{\sin \ n}{ n } $ using the fourier series
negative_passages.docid: 57372
negative_passages.text: Series convergence of $\sum_{n=1}^{\infty}\frac{1}{n^3}$
negative_passages.docid: 158737
negative_passages.text: What is the value of the series $\sum\limits_{n=1}^\infty \frac{(-1)^n}{n^2}$?
negative_passages.docid: 27224
negative_passages.text: Infinite series $\sum_{k=1}^\infty \frac{k}{2^k}$ and $\sum_{k=1}^\infty \frac{k^2}{2^k}$
negative_passages.docid: 146651
negative_passages.text: Evaluting sum $\sum \limits_{n=0}^\infty\frac{n^k}{n!}$
negative_passages.docid: 56365
negative_passages.text: Evaluate $\sum\limits_{k=1}^{n} \frac{k}{2^k}$
negative_passages.docid: 35036
negative_passages.text: Series $\sum_{n=1}^{\infty}\frac{\cos(nx)}{n^2}$
negative_passages.docid: 79415
negative_passages.text: The series $\sum_{n=2}^{\infty }\frac{1}{\log (n!)}$
negative_passages.docid: 125933
negative_passages.text: On the series $\sum \limits_{n=2}^{\infty} \frac{(-1)^n}{n \log n}$
negative_passages.docid: 157001
negative_passages.text: Are there clever ways to evaluate this infinite series?
negative_passages.docid: 78542
negative_passages.text: What is $\sum_{n=1}^{\infty} \frac{n}{2^{\sqrt{n}}}$?
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: 123951
negative_passages.text: Problem calculating sum of convergent series of $\sum_{n=2}^{\infty} \frac{1}{n^{2}-1}$