Assess students' ability to recall and precisely state the Monotone Convergence Theorem, Dominated Convergence Theorem, Fatou's Lemma, and the Bounded Convergence Theorem: specify the exact hypotheses required (measurability, nonnegativity/monotonicity for MCT, existence of an integrable dominating function for DCT, liminf relation for Fatou, finite measure and uniform boundedness for BCT), state each theorem's conclusion about limits of integrals, and indicate which hypotheses are essential by naming standard failure examples when omitted.