Limits and Continuity

Related lectures (29)

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Covers the functions xr, r>0, on [1, +∞], exploring their limits and properties.

Explores differentiating under the integral sign and conditions for differentiation, with examples and extensions to functions on open intervals.

Explains limits at right and left endpoints, convergence conditions, and function behavior near specific values.

Explores infinite limits at a point and their properties, including lateral infinite limits and comparisons with sequences.

Explains how to find local extrema of functions using derivatives and critical points.

Explores continuous functions and integrability through practical examples.

Covers the analysis of functions, composition, and mathematical induction.

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.

Covers limits, continuity, and function extension by continuity, including lateral limits and infinite limits.