Category:Examples of Infinite Products
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This category contains examples of Infinite Product.
Let an infinite number of values of $j$ satisfy the propositional function $\map R j$.
Then the precise meaning of $\ds \prod_{\map R j} a_j$ is:
- $\ds \prod_{\map R j} a_j = \paren {\lim_{n \mathop \to \infty} \prod_{\substack {\map R j \\ -n \mathop \le j \mathop < 0} } a_j} \times \paren {\lim_{n \mathop \to \infty} \prod_{\substack {\map R j \\ 0 \mathop \le j \mathop \le n} } a_j}$
provided that both limits exist.
If either limit does fail to exist, then the infinite product does not exist.
Pages in category "Examples of Infinite Products"
The following 3 pages are in this category, out of 3 total.