Agree; it's pretty easy to see

來源: 2011-01-23 11:14:13 [博客] [舊帖] [給我悄悄話] 本文已被閱讀:

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.