CHAPTER16

Power Series

In This Chapter

  • Working with the power series
  • Interval and radius of convergence
  • Computing the MacLaurin Series
  • Working with the Taylor Series
  • Estimating errors for the Taylor and MacLaurin Series

We use power series to create polynomial approximations for nonpolynomial functions. In today’s world, in which we can compute almost anything on our calculators, this might seem like another out-of-date topic. You will see the complete opposite is actually true–it’s because of the application of power series that programmers can use these polynomials to compute values of functions such as sine, cosine, and the natural logarithm. ...

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