考虑函数F(X)=f(x)e^(-x)
F'(x)=f'(x)e^(-x)+f(x)[e^(-x)](-1)=[f'(x)-f(x)]e^(-x)>0
F(x)在(-∞,+∞)上单调增加.
F(1)>F(0),F(2013)>F(0)
即f(1)>e•f(0),f(2013)>e2013•f(0)
故选A
考虑函数F(X)=f(x)e^(-x)
F'(x)=f'(x)e^(-x)+f(x)[e^(-x)](-1)=[f'(x)-f(x)]e^(-x)>0
F(x)在(-∞,+∞)上单调增加.
F(1)>F(0),F(2013)>F(0)
即f(1)>e•f(0),f(2013)>e2013•f(0)
故选A