Need help solving Recursive series defined by $x_1 = \sin x_0$ and $x_{n+1} = \sin x_n$
16970
Convergence of $\sqrt{n}x_{n}$ where $x_{n+1} = \sin(x_{n})$
147005
Prove two identities relating to series
92754
Closed form for the series: $\sum_{n=1}^{\infty}x^{n^2}$
107433
Prove the sum to n terms of the series
45343
Solve $\cos^{n}x-\sin^{n}x=1$ with $n\in \mathbb{N}$.
56267
Solving the recurrence $T(n) = \sqrt n T(\sqrt{n}) + \sqrt{n}$
65653
Find a closed form of the series $\sum_{n=0}^{\infty} n^2x^n$
122236
How to compute the series: $\sum_{n=0}^{\infty} (-1)^{n-1}\binom{1/2}{n}$
69717
Find limit of recursive sequence $a_{n+1} =\sqrt{2+ \sqrt{a_n} }.$
30480
Continued product in $\sin$ series
139221
Compute the series $\sum_{n=1}^{+\infty} \frac{1}{n^3\sin(n\pi\sqrt{2})}.$
69270
Questions about the powerseries $\sum_{n=0}^{\infty}\frac{1}{n^d}z^n,d\in\mathbb{R},z\in\mathbb{C}$
60902
Find general solution for the equation $1 + 2 + \cdots + (n − 1) = (n + 1) + (n + 2) + \cdots + (n + r) $
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?
123108
Does the series $ \sum\limits_{n=1}^{\infty} \frac{1}{n^{1 + |\sin(n)|}} $ converge or diverge?
34060
Laurent Series of $f(z) = \sin {\frac{1}{z}}$ at $z=0$
53389
Consider the series $ ∑_{n=1}^∞ x^2+ n/n^2$ . Pick out the true statements: