If x = 1 + x/(2 + x/(2 + x/(2 + x/(2 + ...)))), then what is x?
x = 1 + x/(2 + x/(2 + x/(2 + x/(2 + ...))))
x - 1 = x/(2 + x - 1)
x - 1 = x/(x+1)
x^2 - 1 = x
x^2 - x - 1 = 0
Solve for x :))
=^._.^=
