How to do limit x->infinity (((root (4x+5))-root x)/root x) ?
回答 (2)
2015-08-28 7:41 am
lim(x->∞)_[√(4x+5)－√x]/√x
=lim(x->∞)_[√(4x+5)/√x－√x/√x]
=lim(x->∞)_｛√[(4x+5)/x]－√(x/x)｝
=lim(x->∞)_[√[(4+5/x)－√１]
=2－1
=1
=lim(x->∞)_[√(4x+5)/√x－√x/√x]
=lim(x->∞)_｛√[(4x+5)/x]－√(x/x)｝
=lim(x->∞)_[√[(4+5/x)－√１]
=2－1
=1
收錄日期: 2021-04-18 00:05:21
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20150827203123AAaMtYj