CHAPTER14

Infinite Sequences

In This Chapter

  • Examining the convergence and divergence of sequences
  • Applying the Squeeze Theorem to determine convergence
  • Examining increasing, decreasing, and monotonic sequences

The study of sequences at this level of mathematics serves primarily as a precursor for the study of series. In this chapter, we study sequences that are defined by formulas as well as those defined by a pattern.

Convergence and Divergence of Sequences

A sequence is a listing of numbers. In our discussion, that list will be infinitely long. Although there are cases where the entries in the list have no rhyme or reason, we will limit ...

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