Limit and Function Composition

Related lectures (26)

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Explores function limits, including right and left limits, algebraic operations, and the theorem of the two gendarmes.

Covers limits at infinity, algebra, and continuity with examples.

Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.

Explores continuous functions, Cauchy criterion, and function extension by continuity.

Covers the integration of limit expansions and continuous functions by pieces.

Explores convergence of sequences in closed sets and the importance of understanding convergence in relation to closedness.

Covers uniform continuity, one-sided limits, function behavior, and continuity conditions, with multiple-choice questions for practice.

Explores Taylor expansion, convex functions, and Lipschitz continuity with illustrative examples.

Explains the definition and uniqueness of developments limites for continuous functions on open intervals.

Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.