# Connect the curve 2

Calculus Level 3

The figure shows the graph of $$f(x)=x-\frac{1}{x}$$.

The circle is tangent to the graph in domain $$x<0$$ and $$x>0$$, and is the smallest of its kind.

The area of the circle is in the form $A\pi \left( -B+\sqrt { C } \right)$ where $$A,B,C$$ are positive integers with $$C$$ square free.

Find $$A+B+C$$.

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