✔ 最佳答案
ln 4 > 1
m ln 4 > m
ln 4^m > m
2014-04-28 23:19:46 補充：
When x is large, ln 4^x is larger, ln 4^{ln 4^x} is even larger...
This implies that lim x→∞ ln x does not exist (or the limit is +∞)
2014-04-29 21:49:29 補充：
Thank you Sandy~ (◕‿◕✿)
As discussed in the comment box,
consider
ln 4 > 1
m ln 4 > m [by multiplying m > 1 to both sides]
ln 4^m > m [by property of logarithm]
Therefore, for any m > 1, ln 4^m would be greater than m.
When x is large, ln 4^x is larger, ln 4^{ln 4^x} is even larger...
This implies that lim x→∞ ln x does not exist (or the limit is +∞).
2014-04-30 14:39:17 補充：
謝謝 老怪物 的意見～
希望發問者明白～
