query: Find the values of $p$ for which the series is convergent.
positive_passages.docid: 24636
positive_passages.text: Convergence of the series $ \sum_{n=1}^{+ \infty } \frac{1}{n \cdot \ln(n) \cdot (\ln(\ln(n)))^{a}} $
negative_passages.docid: 125340
negative_passages.text: Prove the convergence of a series.
negative_passages.docid: 154311
negative_passages.text: Proving convergence of a series and then finding limit
negative_passages.docid: 61361
negative_passages.text: Find the set of $x>0$ such that the series $\sum\limits_n x^{\ln{n}}$ converges
negative_passages.docid: 32964
negative_passages.text: Convergence of $\sum \frac{\sqrt{a_n}}{n^p}$
negative_passages.docid: 42841
negative_passages.text: Convergence of series involving the prime numbers
negative_passages.docid: 42206
negative_passages.text: Elementary proof, convergence of a linear combination of convergent series
negative_passages.docid: 40079
negative_passages.text: Convergence of the series $\sum_n \frac{n^{\log(n)}}{\log(n)^n}$
negative_passages.docid: 140462
negative_passages.text: Find a closed form for the power series $f_p(x)=\sum\limits_{n=0}^\infty\frac{n^p}{n!}x^n$
negative_passages.docid: 12480
negative_passages.text: Convergence of $\sum_{n=1}^{\infty} \frac{\frac{1}{2}+(-1)^n}{n}$
negative_passages.docid: 44411
negative_passages.text: Show the series an/(1-an) converges given that series an converges
negative_passages.docid: 93177
negative_passages.text: in which subset of $R^2$ the series is convergent?
negative_passages.docid: 64149
negative_passages.text: Does the series converge
negative_passages.docid: 26238
negative_passages.text: What values of alpha guarantee the convergence of $\sum _{n=0}^{\infty }\left( \frac {\alpha n} {n+1}\right) ^{n}$?
negative_passages.docid: 61598
negative_passages.text: Convergence of semi-telescopic series $\sum\limits_{k=1}^\infty\frac{1}{k(k+1)(k+2)}$
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: 57372
negative_passages.text: Series convergence of $\sum_{n=1}^{\infty}\frac{1}{n^3}$