Agree; it's pretty easy to see

来源: 于 2011-01-23 11:14:13 [博客] [旧帖] [给我悄悄话] 本文已被阅读：次

This sequence is a continuous squaring, and the unit being squared is increasing, so once you find a unit that is greater than one, you know that it will go to infinity. Similarly, if the unit were decreasing, the limit would be 0 if it were to dip below 1.