2007Journal of Changzhou Vocational College of Information TechnologyRequires access

Applications of Geometric Series to Power Series

XU Hui-yi

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Abstract

Power series is a kind of very important function series.For power series,there are two basic problems: one is convergence and sum;the other is representation of functions by power series.In this paper,we discuss how to use the geometric series to find the sums of power series and to represent functions by power series.

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Power series is a kind of very important function series.For power series,there are two basic problems: one is convergence and sum;the other is representation of functions by power series.In this paper,we discuss how to use the geometric series to find the sums of power series and to represent functions by power series.

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Available abstract

Power series is a kind of very important function series.For power series,there are two basic problems: one is convergence and sum;the other is representation of functions by power series.In this paper,we discuss how to use the geometric series to find the sums of power series and to represent functions by power series.

Key concepts: Geometric series, Series (stratigraphy), Function series, Power series, Alternating series, Mathematics, Power (physics), Neumann series

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