Functions Defined by Power Series


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question 1 of 3

Which of these is another way to write the following function?

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1. What is the center of the following power series?

2. You're told that the radius of convergence for a given power series is (-7,5). What is the center of the power series?

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About This Quiz & Worksheet

In this short quiz and worksheet, our instructors present multiple-choice questions you can use to gauge your understanding of power series functions. You'll be tested on rewriting example functions, identifying the center and convergence in example power series and calculating the center of a power series.

Quiz & Worksheet Goals

Our quiz tests you on the following objectives:

  • Rewrite functions
  • Identify the center of an example power series
  • Calculate the center of a power series when given the interval of convergence
  • Locate the radius of convergence for example power series

Skills Practiced

  • Defining key concepts - ensure that you can accurately define main phrases, such as interval of convergence and radius of convergence
  • Reading comprehension - ensure that you draw the most important information from the related math lesson
  • Information recall - access the knowledge you've gained regarding how functions are rewritten

Additional Learning

Expand your knowledge of this subject by reviewing our lesson called Functions Defined by Power Series. After completing this lesson, you should understand how to answer these quiz questions and meet the following goals:

  • Define what a power series is
  • Explain what a ratio test is used for
  • Discuss the notation used to write out a power series