query: Evaluate: $\lim_{y\to x} \dfrac {y\sec y - x\sec x}{y-x}$
positive_passages.docid: 156011
positive_passages.text: Evaluate $\lim_{y\to 0} \dfrac {(x+y)\sec (x+y) - x\sec x}{y}$
negative_passages.docid: 148170
negative_passages.text: Difficulty in evaluating a limit: $\lim_{x \to \infty} \frac{e^x}{\left(1+\frac{1}{x}\right)^{x^2}}$
negative_passages.docid: 43852
negative_passages.text: Evaluate $\lim_{x\to 0}\frac{e^{(x+1)^{1/x}}-(x+1)^{e/x}}{x^2}$
negative_passages.docid: 105626
negative_passages.text: Compute $\iint\limits_R\frac{y}{x+y^2}dA$ where $R=[0,1]\times[1,2]$
negative_passages.docid: 56902
negative_passages.text: Evaluate $\lim_{n \to \infty} \frac{1}{n}[(n +1)(n+2) \cdots (n+n)]^{\frac{1}{n}}$
negative_passages.docid: 126852
negative_passages.text: Evaluate $\int \frac{1}{\sin x+\sec x}\,dx $
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: 136450
negative_passages.text: Compute $\lim_{x \rightarrow +\infty} \frac{[\int^x_0 e^{y^{2}} dy]^2}{\int^x_0 e^{2y^{2}}dy}$
negative_passages.docid: 51622
negative_passages.text: Evaluating $\lim\limits_{x\rightarrow0}\frac{e^{-1/x^2}}{x}$
negative_passages.docid: 156546
negative_passages.text: Evaluate the limit $\lim_{n\rightarrow \infty}\frac{1}{\sqrt{n}}\left(1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\ldots+\frac{1}{\sqrt{n}}\right)$
negative_passages.docid: 106742
negative_passages.text: Evaluating $ \lim_{x \rightarrow 0}\left (\frac{\sin(x)}{x}\right)^\frac{1}{x^2}$
negative_passages.docid: 156448
negative_passages.text: Evaluate the limit without using the L'Hôpital's rule
negative_passages.docid: 5478
negative_passages.text: Limit of $\lim_{(x,y)\rightarrow(0,0)}\frac{x^2y^2}{x^3+y^3}$
negative_passages.docid: 38804
negative_passages.text: Wrong Wolfram|Alpha limit? $ f(x,y) = \frac {xy}{|x|+|y|} $ for $(x,y)\to(0,0)$
negative_passages.docid: 26408
negative_passages.text: Evaluate a limit (probably involving L'Hôpital rule)
negative_passages.docid: 49094
negative_passages.text: Limit evaluate $\lim_{x\to0}{{\frac{\ln(\cos(4x))}{\ln(\cos(3x))}}}$?
negative_passages.docid: 78921
negative_passages.text: Multivariable limit $\lim_{(x,y)\to (0,0)} \frac {x^2 + y^2}{\sqrt{x^2 +y^2 + 1} - 1}$