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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