In mathematics, for a sequence of complex numbers a1, a2, a3, ... the infinite product ∏ n = 1 ∞ a n = a 1 a 2 a 3 ⋯ {\displaystyle \prod _{n=1}^{\infty }a_{n}=a_{1}\;a_{2}\;a_{3}\cdots } is defined to be the limit of the partial products a1a2...an as n increases without bound. Wikipedia