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Study Guide for Chapter 9: Infifite Series.
Chapter 9:
- Definition of limit for sequences, page 559.
- Theorem 4 on page 563.
- Some frequently encountered example of limits, Table 9.1 p564.
- Definition of convergent series.
- Examples of convergent series (geometric, telescoping, ...).
- A necessary condition for convergent series, Theorem 5, p571.
- A very important necessary condition for converence of
sequences: Nondecreasing Sequence Theorem, p578.
- Tests for nonnegatice series: integral, ratio and root tests.
Remember some examples for each test? IMPORTANT!
- Limit Comparison Test. Examples.
- More Later.
Lecture notes and Homework Assignments