query: A limit of n times sine values at factorially spaced arguments
positive_passages.docid: 9002
positive_passages.text: What is the limit of $n \sin (2 \pi \cdot e \cdot n!)$ as $n$ goes to infinity?
negative_passages.docid: 13186
negative_passages.text: Approximating cos(43) with error less than $8/60000$
negative_passages.docid: 64081
negative_passages.text: Sequence converging to different limits
negative_passages.docid: 105737
negative_passages.text: Computing limits which involve square roots, such as $\sqrt{n^2+n}-n$
negative_passages.docid: 114146
negative_passages.text: Polynomial in $n$ variables
negative_passages.docid: 28552
negative_passages.text: Calculate the limit of two interrelated sequences?
negative_passages.docid: 149850
negative_passages.text: Methods for determining the convergence of $\sum\frac{\cos n}{n}$ or $\sum\frac{\sin n}{n}$
negative_passages.docid: 116270
negative_passages.text: Functional equations leading to sine and cosine
negative_passages.docid: 71797
negative_passages.text: Combinatorial argument for $\sum\limits_{k=i}^{n}\binom{n}{k}\binom{k}{i} = \binom{n}{i}2^{n-i}$
negative_passages.docid: 101329
negative_passages.text: Avoiding numerical cancellation question for $\sin x -\sin y$ for $x \approx y$
negative_passages.docid: 73295
negative_passages.text: Limit approaching infinity of sine function
negative_passages.docid: 22274
negative_passages.text: Partitioning a natural number $n$ in order to get the maximum product sequence of its addends
negative_passages.docid: 103285
negative_passages.text: Limit of a periodic function
negative_passages.docid: 9118
negative_passages.text: Polynomial division: an obvious trick? [reducing mod $\textit{simpler}$ multiples]
negative_passages.docid: 62120
negative_passages.text: Limit of the ratio of consecutive Fibonacci numbers
negative_passages.docid: 63314
negative_passages.text: Triangular Factorials
negative_passages.docid: 145549
negative_passages.text: Generalizing values which Euler's-totient function does not take