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Lecture
Taylor Series: Limits and Composition
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Related lectures (28)
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Taylor Series: Finding Remainders
Covers Taylor series, remainder order, limits, and convergence criteria in approximating functions.
Numerical Analysis: Convergence and Divergence
Covers convergence and divergence in numerical analysis, focusing on series and functions.
Comparison Series and Integrals
Explores the relationship between series and integrals, highlighting convergence criteria and function examples.
Taylor Series: Cosine Function
Explains the Taylor series expansion of order 4 for the cosine function.
Holomorphic Functions: Taylor Series Expansion
Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.
Convergence Criteria: Series & Functions
Explores convergence criteria for series and functions, including the squeeze theorem and D'Alembert's criterion.
Generalized Integrals and Convergence Criteria
Covers generalized integrals, convergence criteria, series convergence, and harmonic series in analysis.
Limits: Basic Properties and Examples
Covers the basic properties of limits and provides illustrative examples.
Integration: Limited Development
Covers the limited development of integration and methods for calculating the limit development of functions and antiderivatives.
Uniform Convergence: Series of Functions
Explores uniform convergence of series of functions and its significance in complex analysis.