Representing the ln(1-x) Power Series: How-to & Steps


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Use long division to find the power series for 1/(1 + x).

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1. Integrate the following

2. For ln(x) = x - x2 + C, let x = 1. The value for the constant C is _____.

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About This Quiz & Worksheet

These assessments will gauge your comprehension of the power series of In functions. You'll be quizzed on key points like how to use long division to calculate a power series and an integration with the power rule.

Quiz & Worksheet Goals

The worksheet/quiz will cover these areas of study:

  • The value for a given constant
  • Interval for 'x'
  • An interval of convergence

Skills Practiced

  • Problem solving - use acquired knowledge to solve power series of In functions practice problems
  • Critical thinking - apply relevant concepts to examine information about functions in a different light
  • Information recall - access the knowledge you've gained regarding how to find a power series

Additional Learning

Use the lesson we've entitled Representing the In(1-x) Power Series: How-to & Steps for more on these topics:

  • What a power series is
  • Ratio test and how it's applied
  • The meaning of 'converge'