# Calculus problem #2131

Calculus Level 5

$A(1, 0)$ 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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