query: Calculating the following series: $\sum_{k=0}^{\infty}(−1)^k2k+1$
positive_passages.docid: 151189
positive_passages.text: calculate the sum of an infinite series
negative_passages.docid: 24033
negative_passages.text: Infinite Series $\sum\limits_{k=1}^{\infty}\frac{k^n}{k!}$
negative_passages.docid: 30895
negative_passages.text: Compute the sum of the series $\sum_{n=1}^{\infty} \frac{1}{n \cdot 2^n}$
negative_passages.docid: 91784
negative_passages.text: Calculating $\sum_{n=1}^\infty {\frac{1}{2^nn(3n-1)}}$
negative_passages.docid: 22657
negative_passages.text: How to find the sum of the infinite series?
negative_passages.docid: 152557
negative_passages.text: Calculate $ \lim\limits_{n \to \infty} \sum\limits_{k=0}^n \frac{2^{k-1}}{a^{2k-1}+1} $
negative_passages.docid: 118436
negative_passages.text: Identifying the series $\sum\limits_{k=-\infty}^{\infty} 2^k x^{2^k}$
negative_passages.docid: 74117
negative_passages.text: Find the sum of series $\sum_{n=0}^{\infty}\frac{z^{kn}}{(kn)!}$
negative_passages.docid: 120988
negative_passages.text: Infinite Series $\sum 1/(n(n+1))$
negative_passages.docid: 152227
negative_passages.text: How to sum this series to infinity: $\sum_{n=0}^{\infty} \frac1{2^{2^n}}$
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: 102942
negative_passages.text: Compute the sum $\sum_{k=1}^{\infty}k^mz^k$ where $|z|<1$
negative_passages.docid: 134361
negative_passages.text: Calculating the sum of a binomial coefficient series
negative_passages.docid: 57759
negative_passages.text: Determining the infinite sum $\sum\limits_{n=0}^{\infty}\frac{(-1)^n}{2n+1}$
negative_passages.docid: 326
negative_passages.text: Find $\sum_{k=1}^{\infty}\frac{1}{2^{k+1}-1}$
negative_passages.docid: 136444
negative_passages.text: Evaluating $\sum_{n=0}^\infty\frac{(-1)^n}{3n+1}$
negative_passages.docid: 5054
negative_passages.text: Calculate $\sum\limits_{k=0}^{\infty}\frac{1}{{2k \choose k}}$