Algebraic Operations and Taylor Expansions

Related lectures (29)

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Explores Taylor polynomials, including order, development, limits, and algebraic operations.

Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.

Covers limits, algebraic operations, and infinite limits with examples of functions' behavior near limit points.

Explores algebraic operations on limited developments and their consequences on differentiable functions, illustrated through examples.

Covers the theorem of the intermediate value, corollaries, and geometric interpretation of derivatives.

Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.

Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.

Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.

Demonstrates efficient limit calculations using Taylor expansions and basic algebraic operations.

Explores examples of divergence in vector fields and their physical meanings.