query: Calculating the value given by an infinite converging series
positive_passages.docid: 6416
positive_passages.text: How can I evaluate $\sum_{n=0}^\infty(n+1)x^n$?
negative_passages.docid: 111651
negative_passages.text: Determine if this series converges or diverges
negative_passages.docid: 97315
negative_passages.text: Assuming convergence of the following series, find the value of $\sqrt{6+\sqrt{6+\sqrt{6+...}}}$
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: 69588
negative_passages.text: Convergence of a given series
negative_passages.docid: 91784
negative_passages.text: Calculating $\sum_{n=1}^\infty {\frac{1}{2^nn(3n-1)}}$
negative_passages.docid: 47706
negative_passages.text: Find the value of $ \sum_{n=1}^{\infty} \frac{n^3}{3^n} $
negative_passages.docid: 57372
negative_passages.text: Series convergence of $\sum_{n=1}^{\infty}\frac{1}{n^3}$
negative_passages.docid: 14223
negative_passages.text: Find the infinite sum $\sum_{n=1}^{\infty}\frac{1}{2^n-1}$
negative_passages.docid: 151477
negative_passages.text: computing the series $\sum_{n=1}^\infty \frac{1}{n^2 2^n}$
negative_passages.docid: 36849
negative_passages.text: Show convergence of a given series and find the limit.
negative_passages.docid: 144877
negative_passages.text: Taylor series representation as an infinite sum
negative_passages.docid: 22636
negative_passages.text: Find the sum of the series $\sum \limits_{n=1}^{\infty} \frac{2^{-n}(n+3)}{(n+1)(n+2)}$
negative_passages.docid: 137027
negative_passages.text: Find the value of $\sum_{n=0}^\infty\frac{1}{9n^2+9n+2}$
negative_passages.docid: 44754
negative_passages.text: Infinite Series $\sum\limits_{n=1}^{\infty}\frac{1}{4^n\cos^2\frac{x}{2^n}}$
negative_passages.docid: 112950
negative_passages.text: Find the value of infinite series $\sum_{n=1}^{\infty} \tan^{-1}(2/n^2)$
negative_passages.docid: 122236
negative_passages.text: How to compute the series: $\sum_{n=0}^{\infty} (-1)^{n-1}\binom{1/2}{n}$