Powerful Product
Calculus
Level
5
\[\large \prod _{n=0}^\infty\left(\frac1{2^{2^{n+1}}}-\frac1{2^{2^n}}+1\right)\]
The above infinite product can be written as \(\frac AB\), where \(A\) and \(B\) are coprime positive integers. What is the value of \(A+B\)?
by
Akiva Weinberger