query: Limit of $x_n = \sqrt{2+x_{n-1}}$
positive_passages.docid: 154311
positive_passages.text: Proving convergence of a series and then finding limit
negative_passages.docid: 90398
negative_passages.text: How to show $\lim_{x \to 1} \frac{x + x^2 + \dots + x^n - n}{x - 1} = \frac{n(n + 1)}{2}$?
negative_passages.docid: 75571
negative_passages.text: Limit of $\sqrt x$ as $x$ approaches $0$
negative_passages.docid: 11489
negative_passages.text: Limit of $s_n = \int\limits_0^1 \frac{nx^{n-1}}{1+x} dx$ as $n \to \infty$
negative_passages.docid: 88782
negative_passages.text: Finding the limit of $x_1=0 , x_{n+1}=\frac{1}{1+x_n}$
negative_passages.docid: 7389
negative_passages.text: Finding the limit of $\frac{Q(n)}{P(n)}$ where $Q,P$ are polynomials
negative_passages.docid: 41203
negative_passages.text: Finding $\lim\limits_{x \to \infty} (\sqrt{9x^2+x} - 3x)$
negative_passages.docid: 69309
negative_passages.text: How do I simplify and evaluate the limit of $(\sqrt x - 1)/(\sqrt[3] x - 1)$ as $x\to 1$?
negative_passages.docid: 61487
negative_passages.text: Limit of $\frac1n\sqrt[n]{(n+1)(n+2)(n+3)...(n+n)}$
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: 5797
negative_passages.text: Limit of the sequence $a_n=\sqrt[n+1]{(n+1)!}-\sqrt[n]{n!}$
negative_passages.docid: 7868
negative_passages.text: Computing limit of $(1+1/n)^{n^2}$
negative_passages.docid: 108971
negative_passages.text: Finding the limit of $\sqrt[n]{{kn \choose n}}$
negative_passages.docid: 12031
negative_passages.text: Asymptotic behavior of the sequence $a_n=\sqrt{n+a_{n-1}}$
negative_passages.docid: 19631
negative_passages.text: Finding $\lim_{n\to \infty}\sqrt n \int_0^1 \frac{\,dx}{(1+x^2)^n}$
negative_passages.docid: 107200
negative_passages.text: Find $\lim_{n\to\infty}1+\sqrt[2]{2+\sqrt[3]{3+\sqrt[4]{4+\ldots+\sqrt[n]{n}}}}$
negative_passages.docid: 104878
negative_passages.text: What is the limit $\lim\limits_{n \to \infty} \frac{n^{\sqrt{n}}}{2^n}$?