Power Series & Taylor/Maclaurin

Power series, Taylor/Maclaurin series, Lagrange error, and applications

This section contains 4 topics with 0 practice problems and 0 flashcards. Each topic includes comprehensive written notes, worked examples with detailed solutions, and interactive lessons for hands-on practice.

Topics Covered

• Power Series — Power series basics, radius and interval of convergence, differentiation and integration
• Taylor & Maclaurin Series — Taylor series, Maclaurin series, common series, and Taylor polynomials
• Lagrange Error Bound — Error bound formula, finding maximum error, choosing polynomial degree
• Series Applications — Function approximation, solving DEs with series, physics applications, and error analysis

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