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Chapter 11 (11.7 Strategy for Testing Series ((If an is of the form (bn)n,…
Chapter 11
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11.8 Power Series
A power series is a series of the form 
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where x is a variable and the cn’s are constants called the
coefficients of the series.
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convergence of the power series. By convention, the
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11.2 Series
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In general, if we try to add the terms of an infinite sequence.
which is called an infinite series (or just a series) and is
denoted, for short, by the symbol
An important example of an infinite series is the geometric
series.Each term is obtained from the preceding one by multiplying it by the common ratio r.
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other words, the area under the curve is infinite. So the
sum of the series must be infinite, that is, the series is
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n terms, is used as an approximation to the total
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