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Published byTyrone Wilcox Modified over 8 years ago
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Power Series Section 9.1
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If the infinite series converges, then
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Geometric Series
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Definition: Power Series An expression of the form is a power series centered at x=0. An expression of the form is a power series centered at x=a
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Term-by-Term Differentiation converges for Then the series obtained by differentiating the series for f term-by- term, converges for and representson that interval.
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Term-by-Term Integration converges for Then the series obtained by integrating the series for f term-by- term, converges for and represents on that interval.
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