# Taylor Series: Definition, Formula & Examples

Instructions:

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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### 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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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

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
Final Exam
Chapter Exam

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