Assess undergraduate students’ understanding of pointwise and uniform convergence of sequences of functions: formal definitions (ε–N formulation and sup-norm), standard tests (including Weierstrass M-test), and the implications for preservation of continuity, termwise integration, and differentiation. Tasks should include proving or disproving uniform convergence for given sequences, constructing counterexamples where pointwise but not uniform convergence fails to preserve properties, and applying theorems with rigorous justification.