Question

find value of 2^2^2^2..., power to 2 infinetly many times

Answer 1

I define this as x, and I say \[2^{x}=x\]

Answer 2

but I could find a solution, wolfram alpha gives me a complex number which is weid since this is a real number

Answer 3

My friend give this to me and said he couldnt do it

Answer 4

First, you've got to check if it converges.

Answer 5

shoot, I forgot

Answer 6

becuase the first part is 2*sqrt(2*sqrt(...) and I got 4

Answer 7

so naturally I used the same method and thins are screwed this time

Answer 8

Yeah, it simply doesn't converge.

Answer 9

thx, but how do I check for convergencce, I am out of math for about a year