query: Various evaluations of the series $\sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)^3}$
positive_passages.docid: 16967
positive_passages.text: Sum : $\sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)^3}$
negative_passages.docid: 913
negative_passages.text: Evaluating $\sum_{n=0}^{\infty}{\sin^{3}\left(3^{n}\right) \over 3^{n}}$
negative_passages.docid: 17686
negative_passages.text: Evaluate the infinite series $\sum_{r=1}^{\infty} \frac{2^{-r}}{r^{2}}$
negative_passages.docid: 47980
negative_passages.text: Infinite series $\sum _{n=2}^{\infty } \frac{1}{n \log (n)}$
negative_passages.docid: 78167
negative_passages.text: Show that the series $\sum\limits_{n=2}^{\infty} \frac {(n^3+1)^{1/3}-n}{\log n}$ converges
negative_passages.docid: 12812
negative_passages.text: Sum of the alternating harmonic series $\sum_{k=1}^{\infty}\frac{(-1)^{k+1}}{k} = \frac{1}{1} - \frac{1}{2} + \cdots $
negative_passages.docid: 132613
negative_passages.text: Testing the series $\sum\limits_{n=1}^{\infty} \frac{1}{n^{k + \cos{n}}}$
negative_passages.docid: 131023
negative_passages.text: Evaluate the sum: $\sum\limits_{n=0}^{\infty} \frac1{F_{(2^n)}}$
negative_passages.docid: 6838
negative_passages.text: Evaluate the series $S_n = \sum_{k=1}^n\log\frac {k (k + 2)}{(k + 1)^2}$
negative_passages.docid: 93837
negative_passages.text: How to compute infinite series $\sum_{n=0}^{\infty} ne^{-n}$
negative_passages.docid: 36742
negative_passages.text: The sum of $(-1)^n \frac{\ln n}{n}$
negative_passages.docid: 4414
negative_passages.text: Computig the series $\sum\limits_{n=2}^\infty \ln\left(1-\frac{1}{n^2}\right)$
negative_passages.docid: 25504
negative_passages.text: How to find sum of the infinite series $\sum_{n=1}^{\infty} \frac{1}{ n(2n+1)}$
negative_passages.docid: 36674
negative_passages.text: Summation of series $\sum_{n=1}^\infty \frac{n^a}{b^n}$?
negative_passages.docid: 150902
negative_passages.text: Series involving log $\sum_{n=1}^{\infty} \left( n\log \left(\frac{2n+1}{2n-1}\right)-1\right) = \frac{1-\log 2}{2}$
negative_passages.docid: 84335
negative_passages.text: Solving for $\sum_{n = 1}^{\infty} \frac{n^3}{8^n}$?
negative_passages.docid: 38760
negative_passages.text: Infinite Series $\sum\limits_{n=0}^\infty\frac{(-1)^n}{(2n+1)^{2m+1}}$