The conversation between human and AI assistant.
What is 2^ (1/2!) ^ (1/3!) ^ (1/4!)^...?
Can you tell me what is 2^ (1/2!) ^ (1/3!) ^ (1/4!)^...?
Sure! That expression is also known as the infinite tetration of the square root of 2. It is an infinite product of powers, where each factor is the square root of 2 raised to the reciprocal of the factorial of the previous term. This infinite product converges to a number known as the super root of 2.