Power Series - Representation of Functions - Calculus 2

This calculus 2 video tutorial provides a basic introduction into the representation of functions as power series. It explains how to represent a function as a power series centered at 0 and centered at some value c. It also explains how to approximate function values using geometric power series. This video also explains how to find the radius of convergence and the interval of convergence of a geometric power series. To write a power series from a function, you need to write the function in the form of the formula for the infinite sum of a geometric series. To find the interval of convergence, find the common ratio represented by some variable expression of x and set it less than 1 and solve the inequality. This video also includes examples and practice problems of adding and subtracting power series as well as using partial fraction decomposition.

Series Tests - Practice Problems:
   • Calculus 2 - Geometric Series, P-Seri...  

Taylor & Maclaurin Polynomials:
   • Taylor Polynomials & Maclaurin Polyno...  

Taylor's Remainder Theorem:
   • Taylor's Remainder Theorem  

Power Series - Interval Convergence:
   • Power Series - Finding The Radius & I...  

Power Series - Derivatives & Integrals:
   • Power Series - Differentiation and In...  

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Power Series - Function Representation:
   • Power Series - Representation of Func...  

Finding The Power Series:
   • Finding Power Series By Differentiation  

Power Series - Representation By Integration:
   • Power Series Representation By Integr...  

Power Series - Representation By Natural Logs:
   • Power Series Representation With Natu...  

Taylor & Maclaurin Series:
   • Taylor Series and Maclaurin Series - ...  

Binomial Series:
   • Binomial Series  

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Parametric Equations:
   • Parametric Equations Introduction, El...  

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