query: Limit evaluate $ \lim\limits_{x \to - \infty } {{|\arcsin ({2 \over x})|} \over {\arctan ({5 \over x})}} $
positive_passages.docid: 24234
positive_passages.text: How to evaluate $\lim_{x\to\infty}\arctan (4/x)/ |\arcsin (-3/x)|$?
negative_passages.docid: 122145
negative_passages.text: Evaluating Limit - $(1-(\cos x)^{\sin x})/(x^3)$
negative_passages.docid: 72842
negative_passages.text: Evaluation of the limit $\lim\limits_{n \to \infty } \frac1{\sqrt n}\left(1 + \frac1{\sqrt 2 }+\frac1{\sqrt 3 }+\cdots+\frac1{\sqrt n } \right)$
negative_passages.docid: 155513
negative_passages.text: I need help to advance in the resolution of that limit: $ \lim_{n \to \infty}{\sqrt[n]{\frac{n!}{n^n}}} $
negative_passages.docid: 57573
negative_passages.text: Evaluate $ \lim_{n\to \infty} ( \lim_{x\to0} (1+\tan^2(x)+\tan^2(2x)+ \cdots + \tan^2(nx)))^{\frac{1}{n^3x^2}} $
negative_passages.docid: 51281
negative_passages.text: Evaluating Limit Question $\lim\limits_{n\to \infty}\ \frac{1+\sqrt[2]{2}+\sqrt[3]{3}+\cdots+\sqrt[n]{n}}{n}=1$?
negative_passages.docid: 101630
negative_passages.text: Limit $\lim_{n\to\infty}\sqrt n(\sqrt[n]x-1)$
negative_passages.docid: 13148
negative_passages.text: Limits: How to evaluate $\lim\limits_{x\rightarrow \infty}\sqrt[n]{x^{n}+a_{n-1}x^{n-1}+\cdots+a_{0}}-x$
negative_passages.docid: 95508
negative_passages.text: Evaluate $\lim\limits_{x\to 1}\frac{\sqrt x-x^2 }{1-\sqrt x}$
negative_passages.docid: 4224
negative_passages.text: Evaluate limit of an integral: $\lim_{x\to \infty }\frac{1}{x}\int _0^x\:\frac{dt}{2+\cos t}$
negative_passages.docid: 142114
negative_passages.text: Limit as $x\to 2$ of $\frac{\cos(\frac \pi x)}{x-2} $
negative_passages.docid: 19100
negative_passages.text: Find $\lim \limits_{n \to \infty}{1*4*7*\dots(3n+1) \over 2*5*8* \dots (3n+2)}$
negative_passages.docid: 18079
negative_passages.text: Evaluating $\lim\limits_{x\to \infty}\sqrt[6]{x^{6}+x^{5}}-\sqrt[6]{x^{6}-x^{5}}$
negative_passages.docid: 4644
negative_passages.text: Finding the limit $\lim \limits_{n \to \infty}\ (\cos \frac x 2 \cdot\cos \frac x 4\cdot \cos \frac x 8\cdots \cos \frac x {2^n}) $
negative_passages.docid: 65975
negative_passages.text: Calculating $\lim_{n\to\infty}\sqrt{n}\sin(\sin...(\sin(x)..)$
negative_passages.docid: 149601
negative_passages.text: $\lim_{x\to{\infty}} (x-\sqrt{x^2+x})$
negative_passages.docid: 65137
negative_passages.text: Evaluating $\lim\limits_{n\to\infty}(a_1^n+\dots+a_k^n)^{1\over n}$ where $a_1 \ge \cdots\ge a_k \ge 0$