My physics teacher asked this question in lecture the other day and would not give us the answer. It's been bugging me ever since. No, this isn't a homework or some type of extra credit question. I'm just curious about what the answer is.
if 2^2=4
2^2^2=16
2^2^2^2=256
Going in this same pattern, if you have y=a^a^a^a^a^a... and keep raising it to the "a"th power an infinite amount of times...
What is the largest falue for "a" where y is still finite?
He did say that the answer is not the obvious answer everyone was thinking of 1. It is greater than 1.
*edit* yeah....should have been 2 squared =4
if 2^2=4
2^2^2=16
2^2^2^2=256
Going in this same pattern, if you have y=a^a^a^a^a^a... and keep raising it to the "a"th power an infinite amount of times...
What is the largest falue for "a" where y is still finite?
He did say that the answer is not the obvious answer everyone was thinking of 1. It is greater than 1.
*edit* yeah....should have been 2 squared =4