The limit of the nth root of a to the n plus b to the n is the maximum of (a,b)
98501
How to evaluate $ \lim_{x\rightarrow +\infty } \sqrt[x]{a^x+b^x} = ? $
100037
nth roots and logarithm
33976
Prove that $\lim_{n \to \infty} \sqrt[n]{a} = 1$ using only the basic properties of sequences
44269
If $f$ is nonnegative and continuous on $[a,b]$, then $\left(\int_a^b f(x)^n \ dx\right)^{1/n}\to\max\limits_{[a,b]} f$
109304
The roots of the equation $z^n=(1+z)^n$...
123253
Limit of a sequence $a_1=1;a_{n+1}=(n+1)(1+a_n)$
43168
Prove that $\limsup\left(b_{n}a_{n}\right)=\limsup\left(a_{n}\right) $ when $\lim_{n\rightarrow\infty}\left(b_{n}\right)=1$
33495
A limit problem about $a_{n+1}=a_n+\frac{n}{a_n}$
39488
Limit of a sequence involving root of a factorial: $\lim_{n \to \infty} \frac{n}{ \sqrt [n]{n!}}$
118244
An $n$th root inequality: $\sqrt[n]{n} < 1 + \sqrt{2/n}$
52711
Prove that the sequence $\{v_n\}$ converges to the maximum value of $f$ on $[a,b]$
91901
Prove that $\lim_{n\to\infty}a_n\le \lim_{n\to\infty}b_n$
37251
Values of the limit $\lim\limits_{x\to+\infty}\left(\sqrt{(x+a)(x+b)}-x\right)$
155353
Find the limit of $ a_n =\left(1+\frac{1^2}{n^2}\right)^1\left(1+\frac{2^2}{n^2}\right)^2\cdots \left(1+\frac{n^2}{n^2}\right)^n$
125860
Showing that $\lim\limits_{n\to\infty}x_n$ exists, where $x_{n} = \sqrt{1 + \sqrt{2 + \sqrt{3 + ...+\sqrt{n}}}}$
97747
Limit of $\lim\limits_{n\to\infty} (1 + \frac{x_n}{n})^n$
115411
if $A_n \longrightarrow \infty $ and $B_n \longrightarrow \infty $ then $(A_n+B_n) \longrightarrow \infty$