Calculate $\lim_{n\to\infty}(\sqrt{n^2+n}-n)$.
4345
Prove that lim $(\sqrt{n^2+n}-n) = \frac{1}{2}$
115819
Evaluate $\lim \limits_{n\rightarrow\infty}\sin^2(\pi\sqrt{n^2 + n})$
123970
Find $L=\lim \limits_{n\to \infty}\sqrt[n]{x^n+y^n+z^n}$
142575
Find the value of : $\lim_{x\to\infty} \sqrt{x+\sqrt{x}}-\sqrt{x}$
56902
Evaluate $\lim_{n \to \infty} \frac{1}{n}[(n +1)(n+2) \cdots (n+n)]^{\frac{1}{n}}$
133244
Finding $\lim_{n \to \infty} n(\sqrt[n]{2} - 1)$
18062
How can I prove $\lim_{n \to \infty} \frac{n^2}{2^n}=0$
41203
Finding $\lim\limits_{x \to \infty} (\sqrt{9x^2+x} - 3x)$
45737
Limit $\lim_{n \to \infty} \frac{n!}{n^n}$
29901
Computing $\lim_{n\rightarrow \infty} \frac{1+\sqrt{2}+\sqrt[3]{3}+\cdots+\sqrt[n]{n}}{n}$.
114481
Calculating $\lim_{n\to\infty}\sqrt[n]{2^n-n^2}$
37277
$\lim\limits_{n \to{+}\infty}{\sqrt[n]{n!}}$ is infinite
127001
Evaluate $\lim_{x\to \infty} \cos (\sqrt {x+1})-\cos (\sqrt x)$
76342
Find the limit: $\displaystyle\lim_{x\to \infty} (\sqrt{x^2+x}-\sqrt{x^2-x})$.
17069
Limit $\lim_{x\to \infty} \frac{\sqrt{x+1}+\sqrt{x+2}-\sqrt{4x+12}}{\sqrt{x+2}+\sqrt{x}-\sqrt{4x+12}}$
19631
Finding $\lim_{n\to \infty}\sqrt n \int_0^1 \frac{\,dx}{(1+x^2)^n}$
16634
How to show $\lim_{n \to \infty} \sqrt[n]{a^n+b^n}=\max \{a,b\}$?