Tangent Line to an Integral Function
The function $$F$$ is defined by $$F(x)=\int_{1}^{x}\frac{1}{t}\, dt$$. What is an equation of the line tangent to the graph of $$F$$ at $$x=e$$?
A
$$y=\frac{1}{e}x$$
B
$$y=x-e+1$$
C
$$y=\frac{1}{e}x-\frac{1}{e}+1$$
D
$$y=\frac{1}{e}$$
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