Limiting Angle

Calculus Level 3

$$A(1, 0)$$ is a point on the parabola $$y=2x(x-1)$$. From point $$A$$, point $$P$$ is moving along the curve towards the origin $$O(0, 0)$$. What is the limit $\lim_{P \rightarrow O } \sec \angle APO ?$

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