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17
Infinite Sequences and Series
L e a rnin g Obje c ti v e s
After reading this chapter, you will be conversant with:
♦ Sequence and Their Classification
♦ Convergence of Sequences
♦ Cauchy Sequence
♦ Infinite Series
♦ Comparison Tests
♦ Absolute Convergence
♦ Power Series
♦ Taylor’s and Maclaurin’s Series
Introduction
In this chapter, we shall be studying sequences and series of numbers. We start with dealing with
sequences which really helps us have a clear understanding of series. Series play a significant role in
the field of ordinary differential equations. Sequences are basically countably many numbers arranged
in an order that ...