query: Evaluate $\lim\limits \frac{x-\sin\sin\cdots\sin x}{x^3}.$
positive_passages.docid: 24076
positive_passages.text: Evaluating limit (iterated sine function)
negative_passages.docid: 37755
negative_passages.text: Limit $\lim_{x \to \infty}{\sin{\sqrt{x+1}}-\sin{\sqrt{x}}}$
negative_passages.docid: 29901
negative_passages.text: Computing $\lim_{n\rightarrow \infty} \frac{1+\sqrt{2}+\sqrt[3]{3}+\cdots+\sqrt[n]{n}}{n}$.
negative_passages.docid: 37148
negative_passages.text: How to evaluate $ \lim \limits_{n\to \infty} \sum \limits_ {k=1}^n \frac{k^n}{n^n}$?
negative_passages.docid: 64860
negative_passages.text: Evaluation of $\lim\limits_{x\rightarrow0} \frac{\tan(x)-x}{x^3}$
negative_passages.docid: 129913
negative_passages.text: Evaluate: $I=\int\limits_{0}^{\frac{\pi}{2}}\ln\frac{(1+\sin x)^{1+\cos x}}{1+\cos x}dx$
negative_passages.docid: 41659
negative_passages.text: Limit as $x\to 0$ of $x\sin(1/x)$
negative_passages.docid: 41366
negative_passages.text: Compute $\lim\limits_{n\to\infty} \left(1+\frac{1}{n}\right)\left(1+\frac{2}{n}\right)^{{1}/{2}}\cdots\left(1+\frac{n}{n}\right)^{{1}/{n}}$
negative_passages.docid: 49094
negative_passages.text: Limit evaluate $\lim_{x\to0}{{\frac{\ln(\cos(4x))}{\ln(\cos(3x))}}}$?
negative_passages.docid: 76990
negative_passages.text: Find $\lim_{x \to - \infty} \left(\frac{4^{x+2}- 2\cdot3^{-x}}{4^{-x}+2\cdot3^{x+1}}\right)$
negative_passages.docid: 86169
negative_passages.text: How do I solve this limit: $\lim _{x \to 0} \left(\frac{ \sin x}{x}\right)^{1/x}$?
negative_passages.docid: 98392
negative_passages.text: Value of the limit $\lim_{x \to 0} \frac{\sin(\frac{1}{x})}{\sin(\frac{1}{x})}$
negative_passages.docid: 7819
negative_passages.text: Calculate: $ \lim_{x \to 0 } = x \cdot \sin(\frac{1}{x}) $
negative_passages.docid: 147506
negative_passages.text: Calculate $\lim\limits_{x\to4} \frac {\sqrt {1+2x}-3} {\sqrt x -2}$
negative_passages.docid: 1908
negative_passages.text: Compute $ \lim\limits_{n \to \infty }\sin \sin \dots\sin n$
negative_passages.docid: 105897
negative_passages.text: Evaluate the limit containing $\arctan{x}$ and $\arcsin{x}$
negative_passages.docid: 13104
negative_passages.text: What is $\lim_{x \to \infty} \frac{\sin x}{\sin x}?$