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The Calculus Lifesaver by Adrian Banner

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CHAPTER 25 _____________________________

How to Solve Estimation Problems

In the previous chapter, we showed how Taylor polynomials can be used to estimate (or approximate, if you prefer) certain quantities. We also saw that the remainder term could be used to get an idea of how good the approximation actually is. In this chapter, we’ll develop these techniques and look an number of examples. So, here’s the plan for the chapter:

• a review of the most important facts about Taylor polynomials and series;

• how to find Taylor polynomials and series;

• estimation problems; and

• a different method for analyzing the error.

25.1 Summary of Taylor Polynomials and Series

Here are the most important facts about Taylor polynomials and series, all of which ...

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