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【简答题】
已知函数f（x）=lnx，若存在g（x）使得g（x）≤f（x）恒成立，则称g（x）是f（x）的一个“下界函数”． （I）如果函数g（x）= t x -lnx（t为实数）为f（x）的一个“下界函数”，求t的取值范围； （II）设函数F（x）=f（x）- 1 e x + 2 ex ，试问函数F（x）是否存在零点，若存在，求出零点个数；若不存在，请说明理由．
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