query: Find this limit using L`Hopitals rule
positive_passages.docid: 26408
positive_passages.text: Evaluate a limit (probably involving L'Hôpital rule)
negative_passages.docid: 139215
negative_passages.text: Find the value of $\lim_{x \to - \infty} \left( \sqrt{x^2 + 2x} - \sqrt{x^2 - 2x} \right)$
negative_passages.docid: 17069
negative_passages.text: Limit $\lim_{x\to \infty} \frac{\sqrt{x+1}+\sqrt{x+2}-\sqrt{4x+12}}{\sqrt{x+2}+\sqrt{x}-\sqrt{4x+12}}$
negative_passages.docid: 79618
negative_passages.text: Find the limit without use of L'Hôpital or Taylor series: $\lim \limits_{x\rightarrow 0} \left(\frac{1}{x^2}-\frac{1}{\sin^2 x}\right)$
negative_passages.docid: 138052
negative_passages.text: How to work out the limit of  this bounded sequence?
negative_passages.docid: 146529
negative_passages.text: Finding the limit $ \lim_{x\to a^+} \frac{\cos(x)\ln(x-a)}{\ln(e^x-e^a)} $
negative_passages.docid: 104901
negative_passages.text: find the value of limit
negative_passages.docid: 41203
negative_passages.text: Finding $\lim\limits_{x \to \infty} (\sqrt{9x^2+x} - 3x)$
negative_passages.docid: 155377
negative_passages.text: How can I calculate this limit: $\lim\limits_{x\to 0} x\left\lfloor\frac{1}{x}\right\rfloor$?
negative_passages.docid: 82837
negative_passages.text: Calculating limit of function
negative_passages.docid: 23489
negative_passages.text: Limit of $\left(1+\frac{a}{x}\right)^x$ with and without L'Hôpital's rule
negative_passages.docid: 79785
negative_passages.text: Determining the limit $\lim_{h\to0} \frac{\cos(x+h) - \cos(x)}{(x+h)^{1/2} - x^{1/2}}$
negative_passages.docid: 51231
negative_passages.text: Find the limit of $\frac{n^{x}}{(1 + x)^{n}}$
negative_passages.docid: 15888
negative_passages.text: How to calculate limit without L'Hopital
negative_passages.docid: 56671
negative_passages.text: Find the limit $ \lim_{x \to \infty} \frac{e^{x}}{(1+\frac{1}{x})^{x^{2}}} $
negative_passages.docid: 109131
negative_passages.text: Find limit with factorial
negative_passages.docid: 101716
negative_passages.text: Find this limit: $ \lim_{n \to \infty}{(e^{\frac{1}{n}} - \frac{2}{n})^n}$