Handouts on Power Series for M 408D Spring 2023

Click on the desired folder.

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• The "Taylor Polynomials T_n(x)" Def'n and "Taylor's Inequality"
• The Terms in Taylor's Inequality
• Three Taylor's Inequality Problems Presented in Class
• Section 11.11 -- Sample Solutions
• Finding the Maclaurin Series for f(x) = e^x
• Finding the Maclaurin Series for f(x) = cos x
• Finding the Taylor Series of f(x) = sin x Centered at a = PI/2
• Four Possible Methods of PSR Discovery
• Section 11.9 - Sample Solutions
• Theorem 2 on page 754: The Theorem Concerning Differentiating and Integrating a PSR "Term-by-Term"
• First Notes on Power Series