$\prod_{k=0}^{\infty} \cos(x \cdot 2^{-k}).$
13864
$\prod_{k=0}^{\infty} \cos(x \cdot 2^{-k}).$
24924
Computing an infinite product
141404
Infinite product: $\prod_{k=2}^{n}\frac{k^3-1}{k^3+1}$
21791
Show that $\sum\limits_{k=1}^\infty \frac{1}{k(k+1)(k+2)\cdots (k+p)}=\frac{1}{p!p} $ for every positive integer $p$
4644
Finding the limit $\lim \limits_{n \to \infty}\ (\cos \frac x 2 \cdot\cos \frac x 4\cdot \cos \frac x 8\cdots \cos \frac x {2^n}) $
126574
Proving $\prod_k \sin \pi k / n = n / 2^{n-1}$
40537
How to prove $\int_0^\infty e^{-x^2}cos(2bx) dx = \frac{\sqrt{\pi}}{2} e^{-b^2}$
84949
Evaluate $\prod_{n=1}^\infty \frac{2^n-1}{2^n}$
10902
Showing that $ \prod\limits_{i=0}^{n} {n \choose i}\leq(\frac{2^n-2}{n-1})^{n-1} $
21142
$\sum_{k=0} ^\infty (-1)^k \frac{(2k)!!}{(2k+1)!!} a^{2k+1}$ to differential equation
157833
Limit of the Product $\prod_{k=1}^n\left(\frac{2k-1}{2k}\right)$
14680
$\prod_{k=1}^n (1+ \frac{z}{k})$ converges to $0$ when $\Re (z)<0$
22773
What is the limit of $\frac{\prod\mathrm{Odd}}{\prod\mathrm{Even}}?$
105697
How do I evaluate $\prod_{r=1}^{\infty }\left (1-\frac{1}{\sqrt {r+1}}\right)$?
63672
Understanding a particular evaluation of $\prod\limits_{n=2}^{\infty}\left(1-\frac{1}{n^3}\right)$
91933
Evaluate $\sum_{k=1}^nk\cdot k!$
1392
$\int_{0}^{\infty}{\left(x^3\cdot(e^x-1)^{-1} \right)}dx$