Test 9 Summary 
	Power Series

-Power Series Convergence (ex. 9.8.21)
  * determine the radius of convergence (typically by ratio test)
  * determine the interval of convergence including testing both interval endpoints

-Find a power series using the definition of the Taylor series (ex. 9.10.3)
  
-State three characteristics for common power series
  * functions will be: e^x, sin(x), cos(x) and 1/(1-x)
  * write First four terms
  * sigma notation (start index 0)
  * interval of convergence

-Find the power series for a rational function using variation of geometric power series
  * by composition of 1/(1-x)   (ex. 9.9.9)
  * by taking the derivative or integral of another power series (ex. 9.8.45)

-Perform an integral using a power series which involves a non-elementary anti-derivative
      (ex. 9.9.37 or 9.10.47)
  * find the power series for the integrand 
  * use the power rule to find the series anti-derivative 
  * use a partial sum to approximate the integral within a specified error 
      using alt. series remainder thm. 
  

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