 Infinite product

An infinite product is the limit of the finite partial products ${\prod }_{n=1}^N{a}_n$. If $a_n=1+u_n$, every factor is nonzero, and ${\sum }_n|u_n|<\infty$, then the product converges to a nonzero value.

An infinite product is an expression of the form: \[ \prod_{n=1}^{\infty} a_n \] where \(a_n\) is a sequence of terms. Infinite products can be thought of as the limit of the finite products as the number of terms goes to infinity.