• Dec 15, 2025 Lebesgue Integration On Euclidean Space onvergence Theorem (DCT) If \(f_n \to f\) pointwise and there exists an integrable function \(g\) such that \(|f_n| \leq g\) for all \(n\), then: \[ \lim_{n \to \infty} \int f_n \, dx = \int f \, dx. \] This theorem is essential for justifying limits under t By Rocio Reynolds
