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Basic Definitions
Series and Function Approximation
Lawrence Neff Stout
Department of Mathematics and Computer Science
Illinois Wesleyan University
Basic Definitions
Geometric Series
Taylor's Theorem
Finding when Power Series Converge
Comparison and the Ratio Test
Radius of Convergence
Term by Term Integration and Differentiation
Series for
Series for
and
Series from Differential Equations
What about endpoints?
Integral test and p-series
Alternating series and good approximations
Conditional Convergence and its pathologies
About this document ...
Larry Stout
1999-11-14
and 