Sequence equation. Looking for a value at n = infinity. Basic stuff.
14031
Why does the series $\sum_{n=1}^\infty\frac1n$ not converge?
156814
Compute the limit of the sequence ${\textstyle\sum_{k=1}^n}\frac1{\sqrt{n^2+k}}$
47740
Let $x_1=a>0$ and $x_{n+1}=x_n+\frac{1}{x_n} \forall n\in \mathbb N$. Check whether the following sequence converges or diverges.
11998
In how many sequences of length $n$, the difference between every 2 adjacent elements is $1$ or $-1$?
128181
Find $\lim_{n\to\infty}{\sqrt{n+1}-\sqrt{n}}$ with basic methods
143146
Help with completing the proof: Any unbounded sequence is either infinitely large or has a convergent subsequential limit
12914
What's the limit of the sequence $\lim\limits_{n \to\infty} \frac{n!}{n^n}$?
79266
Proving a sequence defined by a recurrence relation converges
70590
limit of a sequence. might be related to Cesaro theorem
114315
The sequence 1/(n-1) is apparently unbounded yet convergent. What am I missing here?
26837
Limit of the sequence $\{n^n/n!\}$, is this sequence bounded, convergent and eventually monotonic?
42300
Let the sequence be defined recursively $X_{n+1}=pX_{n}+q$ for p nonzero and $X_{1}$ arbitrary. In what conditions does the sequence converge?
12031
Asymptotic behavior of the sequence $a_n=\sqrt{n+a_{n-1}}$
10176
How to find a continued fraction
57095
How do I prove the sequence $x_{n+1}=\sqrt{\alpha +x_n}$, with $x_0=\sqrt \alpha$ converges? ( boundedness?)
142
Showing the sequence converges to the square root
106380
What is $n!$ when $n=0$?