4: Function Limits and Continuity Last updated Save as PDF Page ID 19048 Elias Zakon University of Windsor via The Trilla Group (support by Saylor Foundation) 4.1: Basic Definitions 4.1.E: Problems on Limits and Continuity 4.2: Some General Theorems on Limits and Continuity 4.2.E: More Problems on Limits and Continuity 4.3: Operations on Limits. Rational Functions 4.3.E: Problems on Continuity of Vector-Valued Functions 4.4: Infinite Limits. Operations in E* 4.4.E: Problems on Limits and Operations in \(E^{*}\) 4.5: Monotone Function 4.5.E: Problems on Monotone Functions 4.6: Compact Sets 4.6.E: Problems on Compact Sets 4.7: More on Compactness 4.8: Continuity on Compact Sets. Uniform Continuity 4.8.E: Problems on Uniform Continuity; Continuity on Compact Sets 4.9: The Intermediate Value Property 4.9.E: Problems on the Darboux Property and Related Topics 4.10: Arcs and Curves. Connected Sets 4.10.E: Problems on Arcs, Curves, and Connected Sets 4.11: Product Spaces. Double and Iterated Limits 4.11.E: Problems on Double Limits and Product Spaces 4.12: Sequences and Series of Functions 4.12.E: Problems on Sequences and Series of Functions 4.13: Absolutely Convergent Series. Power Series 4.13.E: More Problems on Series of Functions