query: Limit, L’Hopital, inverse trig function
positive_passages.docid: 155539
positive_passages.text: Evaluating the limit $\lim_{x \to 0+}\left(\frac{1}{x}-\frac{1}{\arctan(x)}\right)$
negative_passages.docid: 74409
negative_passages.text: Differentiaion Calculus: Trig Inverse Function.
negative_passages.docid: 44054
negative_passages.text: Evaluating the integral $\mathop{\lim}\limits_{n \to \infty} \int_{-1}^{1} f(t)\cos^{2}(nt) \ dt $
negative_passages.docid: 90431
negative_passages.text: Compute $\lim_{x\to 0} \frac{e^{-1/x^2}}{x}$ without using L'Hopital?
negative_passages.docid: 15888
negative_passages.text: How to calculate limit without L'Hopital
negative_passages.docid: 36994
negative_passages.text: Finding the limit of a 2-dimensional function
negative_passages.docid: 152262
negative_passages.text: Limit of function of hyperbolic
negative_passages.docid: 139386
negative_passages.text: Limits of trigonometric functions: $\lim _{x\to \pi } \frac{\cos(x/2)}{\pi ^2-x^2}$
negative_passages.docid: 104227
negative_passages.text: How to obtain the limit of $xy\log(x^2+y^2)$ when $(x,y)\to(0,0)$ without using polar coordinates or L'Hôpital?
negative_passages.docid: 156448
negative_passages.text: Evaluate the limit without using the L'Hôpital's rule
negative_passages.docid: 111636
negative_passages.text: Finding $\lim_{n\to\infty}\int_0^{\frac{1}{2^n}}(1+\cos(x))^n\,dx$
negative_passages.docid: 106867
negative_passages.text: Limit of $\cos(x)/x$ as $x$ approaches $0$
negative_passages.docid: 14731
negative_passages.text: Limit with inverse trignometry
negative_passages.docid: 46736
negative_passages.text: Limits involving trigonometric functions $f(x)=\lfloor{x^2 \rfloor} \sin^2(\pi x)$
negative_passages.docid: 41742
negative_passages.text: inverse limit of $k[x]/(x^n)$
negative_passages.docid: 91290
negative_passages.text: Evaluating $\lim_{n \to \infty} \int_{0}^{\pi} \frac{\sin x}{1+\cos ^2(nx)} dx$
negative_passages.docid: 65239
negative_passages.text: Find $\lim_{x \to 0} \frac{x - \tan(x)}{x - \sin(x)}$