# The Infinite Tetration of x? [duplicate]

The infinite tetration of $${x}$$ basically means that we take a value and we continue to raise the value to its power forever. If that sounds confusing, it can be thought of as infinite repeated exponentiation of $${x}$$. Now, my question is, will this value converge for any vale of $${x}$$? In other words, is there a value that this will get infinitely close to when $${x}$$ is a certain value?