CHAPTER 14
Big Idea 4: Series
Series
IN THIS CHAPTER
Summary:In this chapter, you will learn different types of series and the many tests
for determining whether they converge or diverge. The types of series include
geometric series,p-Series, alternating series, power, and Taylor series. The tests for
convergence include the integral test, the comparison test, the limit comparison test,
and the ratio test for absolute convergence. These tests involve working with
algebraic expressions and lengthy computations. It is important that you carefully
work through the practice problems provided in the chapter and check your solutions
with the given explanations.
Key Ideas
KEY IDEA !Sequences and Series
!Geometric Series, Harmonic Series, andp-Series
!Convergence Tests
!Alternating Series: Absolute and Conditional Convergence
!Power Series
!Taylor Series
!Operations on Series
!Error Bounds346