如果f = O(g),e ^ f = O(e ^ g)? [英] If f = O(g), is e^f = O(e^g)?
本文介绍了如果f = O(g),e ^ f = O(e ^ g)?的处理方法,对大家解决问题具有一定的参考价值,需要的朋友们下面随着小编来一起学习吧!
问题描述
如果f = O(g)
是e^f = O(e^g)
?
我很难弄清楚上述问题.一个例子将是受欢迎的.另外,如果您使用l'Hôpital法则,请展示如何进行微分.
I'm having difficultly figuring out the above question. An example would be welcome. Also, if you use l'Hôpital's rule, please show how you do differentiation.
推荐答案
该语句是错误的,例如2n = O(n),但是exp(2n)!= O(exp(n)). (对于n足够大,后者意味着exp(2n)<= C exp(n),即exp(n)<= C,这是不正确的.)
This statement is wrong, for example 2n = O(n), but exp(2n) != O(exp(n)). (The latter would mean exp(2n) <= C exp(n) for sufficiently large n, i.e. exp(n) <= C which is not true.)
这篇关于如果f = O(g),e ^ f = O(e ^ g)?的文章就介绍到这了,希望我们推荐的答案对大家有所帮助,也希望大家多多支持IT屋!
查看全文