## What is the definition of the absolute convergence of an infinite product (1+a_1)(1+a_2)(1+a_3)\cdots(1+a_1)(1+a_2)(1+a_3)\cdots?

For an infinite product (1+a_1)(1+a_2)(1+a_3)\cdots, whats the definition of convergence and absolute convergence? Why the absolute convergence corresponding to the absolute convergence of sum of an infinite series a_1+a_2+a_3+\cdots? If the infinite product absolutely convergent, does it mean it is convergent? If the sum of a_1+a_2+a_3+\cdots convergent, does it mean the corresponding product convergent? I … Read more