what is the limit as $x$ approaches infinity of $x-\sqrt{x^2-x+2}$
13148
Limits: How to evaluate $\lim\limits_{x\rightarrow \infty}\sqrt[n]{x^{n}+a_{n-1}x^{n-1}+\cdots+a_{0}}-x$
81090
Calculate $\lim_{n\to\infty}(\sqrt{n^2+n}-n)$.
155513
I need help to advance in the resolution of that limit: $ \lim_{n \to \infty}{\sqrt[n]{\frac{n!}{n^n}}} $
76342
Find the limit: $\displaystyle\lim_{x\to \infty} (\sqrt{x^2+x}-\sqrt{x^2-x})$.
101630
Limit $\lim_{n\to\infty}\sqrt n(\sqrt[n]x-1)$
140622
Find the value of : $\lim_{x \to \infty} \sqrt{4x^2 + 4} - (2x + 2)$
148320
Find the limit $\lim_\limits{n\to{\infty}}n^2(\sqrt[n]{x}-\sqrt[{n + 1}]{x})$ and my inquiry about Stolz-Cesàro theorem
36063
Finding the limit of $(1-\cos x)/x^2$
154605
How to compute $\lim\limits_{n\rightarrow \infty} \{(2+\sqrt{3})^{n}\}$, where $\{x\}$ is the fractional part of $x$?
114481
Calculating $\lim_{n\to\infty}\sqrt[n]{2^n-n^2}$
119145
$\lim\limits_{n\rightarrow\infty} \sqrt{n}(\sqrt{n+1}-\sqrt{n})$
42251
Limit of non-negative real root of $x^n+x^{n-1}+x-1=0$ as $n \to \infty$
144403
Limit $\lim_{x\rightarrow +\infty}\sqrt{x}e^{-x}\left(\sum_{k=1}^{\infty}\frac{x^{k}}{k!\sqrt{k}}\right)$
106527
Limit of $(\cos1/n)^{n^2}$ when $n\to\infty$
140969
Limit of square root problem
48041
Compute the given limit as $x$ approaches $\infty$
17069
Limit $\lim_{x\to \infty} \frac{\sqrt{x+1}+\sqrt{x+2}-\sqrt{4x+12}}{\sqrt{x+2}+\sqrt{x}-\sqrt{4x+12}}$