已知函数f(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103095925820140548/SYS201311030959258201405021_ST/0.png)
lnx.
(1)设a=1,讨论f(x)的单调性;
(2)若对任意x∈(0,1),f(x)<-2,求实数a的取值范围.
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