Taylor Series: Definition, Formula & Examples


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question 1 of 3

If f(x) = x^2, then the first derivative of f(x) evaluated at x = a is:

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1. What is 3 divided by the factorial of 3?

2. The derivative of e^(2x) is 2e^(2x). What are the first two terms of the Taylor series for f(x) = e^(2x)?

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About This Quiz & Worksheet

Find out what you understand about a Taylor series with the quiz and attached worksheet. Quiz questions will address topics such as derivatives and factorials.

Quiz & Worksheet Goals

These assessments will gauge how well you know how to:

  • Identify the first two terms in a given Taylor series
  • Find the first two terms in a McLaurin series
  • Compare given expressions

Skills Practiced

Practice the following study skills via the worksheet and quiz:

  • Problem solving - use acquired knowledge to solve Taylor series practice problems
  • Interpreting information - verify that you can read information regarding a McLaurin series and interpret it correctly
  • Information recall - access the knowledge you've gained regarding factorials

Additional Learning

Understand more about this area of study with the lesson entitled Taylor Series: Definition, Formula & Examples. Once you've finished the lesson, you will have gone over the following study objectives:

  • Define Taylor series
  • Explain analytic derivations
  • Understand approximations of functions
  • Identify what is meant by 'convergence'
  • Assess an offset term
  • Understand a McLaurin series