Limit of sequence $x_n=\frac{1^p+2^p+...+n^p}{n^{p+1}}$
44551
What is the result of $ \lim_{n \to \infty} \frac{ \sum^n_{i=1} i^k}{n^{k+1}},\ k \in \mathbb{R} $ and why?
51231
Find the limit of $\frac{n^{x}}{(1 + x)^{n}}$
146663
Limit $\lim_{n \to \infty} \frac {a_n}{2^{n-1}}=\frac 4{\pi}$ for $a_{n+1}=a_n+\sqrt{1+a_n^2}$ and $a_0=0$
74522
Convergence of a sequence, $a_n=\sum_1^nn/(n^2+k)$
12914
What's the limit of the sequence $\lim\limits_{n \to\infty} \frac{n!}{n^n}$?
97747
Limit of $\lim\limits_{n\to\infty} (1 + \frac{x_n}{n})^n$
26837
Limit of the sequence $\{n^n/n!\}$, is this sequence bounded, convergent and eventually monotonic?
31174
Find the limit if it exists of $S_{n+1} = \frac{1}{2}(S_n +\frac{A}{S_n})$
31551
Prob. 3, Chap. 3 in Baby Rudin: If $s_1 = \sqrt{2}$, and $s_{n+1} = \sqrt{2 + \sqrt{s_n}}$, what is the limit of this sequence?
124699
How to calculate $\lim_{n \to \infty}\sqrt[n]{\frac{2^n+3^n}{3^n+4^n}}$
105611
Finding limit of a sequence in product form
102425
Limit $ a_{n+1} = \frac{1}{3}(2a_n + \frac{5}{a_n^{2}}), a_1 > 0 $
132947
How to calculate the limit of $\frac{a_n}{n^2}$ for the sequence $a_{n+1}=a_n+\frac{2 a_{n-1}}{n+1}$?
8773
Finding $\lim\limits_{n \to \infty}{\frac{1^1+2^2+3^3+\cdots+n^n}{n^n}}$
82204
Prove $ \lim_{n\to\infty}\sqrt[n]{p(n)}=1 $ for polynomial
61487
Limit of $\frac1n\sqrt[n]{(n+1)(n+2)(n+3)...(n+n)}$
110275
Let $p>0$. Show the $\lim_{n\to\infty}(a^n/n^p)$ is equal to: