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Calculus I by W. Michael Kelley

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CHAPTER6

Evaluating Limits Numerically

In This Chapter

  • Three easy methods for finding limits
  • Limits and asymptotes
  • Finding limits at infinity
  • Trig and exponential limit theorems

Now you know what a limit is, when a limit exists, and when it doesn’t. However, the question of how to actually evaluate limits remains. In Chapter 5 we approximated limits by plugging in x values insanely close to the number we were approaching, but that got tedious quickly. As soon as you have to raise numbers like 2.999999 to various exponents, it becomes clear that you either need a better way or a giant bottle of aspirin.

Good news: there are lots of better ways, ...

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