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A power series (in one variable) is an infinite series of the form \(\sum\nolimits_{n = 0}^{\infty } {a_{n} (x - c)^{n} }\) , where \(a_{n}\) are coefficients, \(x\) is a variable, and \(c\) is a constant called the center of the series. These series provide a powerful tool for approximating functions, solving differential equations, and understanding the behavior of complex functions.

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Power Series Expansions

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  • 发表日期：

    2025年

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  • Farzin Asadi

摘要

A power series (in one variable) is an infinite series of the form \(\sum\nolimits_{n = 0}^{\infty } {a_{n} (x - c)^{n} }\) , where \(a_{n}\) are coefficients, \(x\) is a variable, and \(c\) is a constant called the center of the series. These series provide a powerful tool for approximating functions, solving differential equations, and understanding the behavior of complex functions.