Maclaurin Series for ln(1+x): How-to & Steps


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If f(x) = ln(1 + x), what is f(0)?

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1. Find the second derivative of f(x) if the first derivative, f '(x), is 1/x2.

2. Expand the following summation

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About This Quiz & Worksheet

Answer questions on the Maclaurin series for ln functions with this quiz and worksheet. You'll be tested via a series of practice problems, like how to find the second derivative of f(x) with a given value of a first derivative.

Quiz & Worksheet Goals

Test your comprehension of:

  • Expanding a given summation
  • How to evaluate a general term for n=6
  • The ratio test with regard to a given series
  • Solving for f(0)

Skills Practiced

  • Problem solving - use acquired knowledge to solve Maclaurin series practice problems
  • Informaiton recall - access the knowledge you've gained regarding the evaluation of general terms
  • Reading comprehension - ensure that you draw the most important information from the related lesson on Maclaurin series for ln functions

Additional Learning

Review the lesson called Maclaurin Series for ln(1+x): How-to & Steps for more information on the following concepts:

  • How the general expression for a Maclaurin Series is given
  • What a region of convergence means
  • Using a factorial when finding derivatives