query: Finding sum of the power series and the sum of the series
positive_passages.docid: 145886
positive_passages.text: Power series representation/calculation
negative_passages.docid: 105590
negative_passages.text: How to find sum of power series $\sum_{n=0}^\infty\frac{1}{n!(n+2)}$ by differentiation and integration?
negative_passages.docid: 81589
negative_passages.text: Find the sum of $\sum_{k=0}^{\infty} 1/[(r+2k+2)(s+2k+2)]$
negative_passages.docid: 54131
negative_passages.text: How to do power series expansion
negative_passages.docid: 113189
negative_passages.text: Find the sum of the series $1^2-2^2+3^2-4^2+...-(2n)^2$
negative_passages.docid: 151189
negative_passages.text: calculate the sum of an infinite series
negative_passages.docid: 43903
negative_passages.text: Find the sum for $\sum_{n=1}^{\infty}(-1)^{(n+1)}\frac{2n+1}{3^n} $
negative_passages.docid: 58262
negative_passages.text: Find the sum of the series $1+\frac{1}{3}\cdot\frac{1}{4}+\frac{1}{5}\cdot\frac{1}{4^2}+\frac{1}{7}\cdot\frac{1}{4^3}+\cdots$
negative_passages.docid: 143112
negative_passages.text: Series Summation,Convergence
negative_passages.docid: 123951
negative_passages.text: Problem calculating sum of convergent series of $\sum_{n=2}^{\infty} \frac{1}{n^{2}-1}$
negative_passages.docid: 60456
negative_passages.text: Find the power series of $f(x)=\frac{1}{x^2+x+1}$
negative_passages.docid: 91458
negative_passages.text: Sum of the series $\binom{n}{0}-\binom{n-1}{1}+\binom{n-2}{2}-\binom{n-3}{3}+..........$
negative_passages.docid: 147005
negative_passages.text: Prove two identities relating to series
negative_passages.docid: 124440
negative_passages.text: Evaluate this power series
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: 102339
negative_passages.text: How to compute the sum of a series
negative_passages.docid: 7177
negative_passages.text: Find sum of series $ \sum_{n=1}^{\infty} (n\cdot \ln \frac{2n+1}{2n-1} - 1) $