query: Limit of: $ -x+\sqrt{x^2+x} $ for $ x\to\infty $
positive_passages.docid: 149601
positive_passages.text: $\lim_{x\to{\infty}} (x-\sqrt{x^2+x})$
negative_passages.docid: 128181
negative_passages.text: Find $\lim_{n\to\infty}{\sqrt{n+1}-\sqrt{n}}$ with basic methods
negative_passages.docid: 118893
negative_passages.text: Calculate the limit: $\lim_{x\to\infty} \sqrt[x]{3^x+7^x}$
negative_passages.docid: 81090
negative_passages.text: Calculate $\lim_{n\to\infty}(\sqrt{n^2+n}-n)$.
negative_passages.docid: 98501
negative_passages.text: How to evaluate $ \lim_{x\rightarrow +\infty } \sqrt[x]{a^x+b^x} = ? $
negative_passages.docid: 61698
negative_passages.text: Evaluate the limit $\lim\limits_{n \to \infty} \frac{1}{1+n^2} +\frac{2}{2+n^2}+ \ldots +\frac{n}{n+n^2}$
negative_passages.docid: 147264
negative_passages.text: $ (1 + x)^{1/x} $ when $ x \to \infty$ without L’Hospital’s Rule
negative_passages.docid: 83318
negative_passages.text: How to compute the limit $\lim_{n \to \infty} \sqrt[n]{a_1^n + \cdots + a_m^n}$?
negative_passages.docid: 109540
negative_passages.text: Simplify limit problem $\lim\limits_{x\to 0}\frac{\sqrt{2+x^2}-\sqrt{2+x^2}}{x^2}$
negative_passages.docid: 103833
negative_passages.text: limit $\lim_{n\to \infty }\sum_{k=1}^{n}\frac{k}{k^2+n^2}$
negative_passages.docid: 142575
negative_passages.text: Find the value of : $\lim_{x\to\infty} \sqrt{x+\sqrt{x}}-\sqrt{x}$
negative_passages.docid: 72892
negative_passages.text: Does $\sqrt{x}$ have a limit for $x \to 0$?
negative_passages.docid: 95508
negative_passages.text: Evaluate $\lim\limits_{x\to 1}\frac{\sqrt x-x^2 }{1-\sqrt x}$
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: 46156
negative_passages.text: How to find $\lim_{x \to \infty} [x]/x$?
negative_passages.docid: 158447
negative_passages.text: Limit as $(x,y)$ approaches $(0,0)$ of $(1+x^2+y^2)^{\frac{1}{x^2+y^2+xy^2}}$
negative_passages.docid: 48041
negative_passages.text: Compute the given limit as $x$ approaches $\infty$