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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