New posts in infinite-product

Interesting representation of $e^x$

sequences-and-series number-theory summation recurrence-relations infinite-product

To show for following sequence $\lim_{n \to \infty} a_n = 0$ where $a_n$ = $1.3.5 ... (2n-1)\over 2.4.6...(2n)$

sequences-and-series limits factorial infinite-product

Result of the product $0.9 \times 0.99 \times 0.999 \times ...$

sequences-and-series infinite-product decimal-expansion

Closed form for $\prod_{n=1}^\infty\sqrt[2^n]{\tanh(2^n)},$

calculus closed-form infinite-product hyperbolic-functions trigonometric-series

Infinite products - reference needed!

complex-analysis reference-request products infinite-product

Limit of a particular variety of infinite product/series

sequences-and-series analysis limits infinite-product

How to compute $\prod_{n=1}^\infty\left(1+\frac{1}{n!}\right)$?

sequences-and-series infinite-product

How can I prove $\pi=e^{3/2}\prod_{n=2}^{\infty}e\left(1-\frac{1}{n^2}\right)^{n^2}$?

real-analysis exponential-function closed-form pi infinite-product

Hahn-Banach From Systems of Linear Equations

functional-analysis systems-of-equations topological-vector-spaces infinite-product hahn-banach-theorem

Closed form for $\prod_{n=1}^\infty\sqrt[2^n]{\frac{\Gamma(2^n+\frac{1}{2})}{\Gamma(2^n)}}$

calculus combinatorics gamma-function closed-form infinite-product

Find the value of $\sqrt{10\sqrt{10\sqrt{10...}}}$

limits proof-verification radicals infinite-product nested-radicals

Evaluating the infinite product $\prod\limits_{k=2}^\infty \left ( 1-\frac1{k^2}\right)$

sequences-and-series limits closed-form products infinite-product

How to compute $\prod\limits^{\infty}_{n=2} \frac{n^3-1}{n^3+1}$

sequences-and-series algebra-precalculus infinite-product

Does multiplying all a number's roots together give a product of infinity?

recreational-mathematics real-numbers radicals products infinite-product

$\sqrt{7\sqrt{7\sqrt{7\sqrt{7\sqrt{7\cdots}}}}}$ approximation [closed]

calculus limits radicals infinite-product nested-radicals

Finding Value of the Infinite Product $\prod \Bigl(1-\frac{1}{n^{2}}\Bigr)$

real-analysis sequences-and-series analysis products infinite-product

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}) $

calculus limits trigonometry infinite-product

Proving $\frac{\sin x}{x} =\left(1-\frac{x^2}{\pi^2}\right)\left(1-\frac{x^2}{2^2\pi^2}\right) \left(1-\frac{x^2}{3^2\pi^2}\right)\cdots$

sequences-and-series trigonometry infinite-product