3. Let $A, B, C$ be three distinct points on a circle, $P$ be the area of triangle $ABC$, and $P_{1}$ be the area of the triangle determined by the tangents to the circle at points $A, B, C$. Determine the limit of the ratio $P_{1}: P$ as point $A$ is fixed and points $B$ and $C$ approach $A$ along the circle such that $B \neq C$.