# Tightly Bounded Area

Calculus Level 2

A tangent to the function $$f(x)=\dfrac{1}{x}$$ is drawn on the first quadrant of the Cartesian plane.

Let $$X$$ denote the area bounded by this tangent, the $$x$$-axis and the $$y$$-axis.

What is the range of the values of $$X$$ can take?

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