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8 Infinite Series
Chapter Outline
8.1 Sequences
8.2 INFINITESERIES
8.3 SERIESWITHOUTNEGATIVETERMS
8.4 SERIESWITHODD OREVENNEGATIVETERMS
8.5 RATIOTEST, ROOTTEST,ANDSUMMARY OFTESTS
8.6 POWERSERIES
8.7 TAYLOR ANDMACLAURINSERIES
8.8 CALCULATIONS WITHSERIES
This chapter introduces the study of sequences and infinite series. In calculus, we are interested in the behavior of
sequences and series, including finding whether a sequence approaches a number or whether an infinite series adds
up to a number. The tests and properties in this chapter will help you describe the behavior of a sequence or series.