# Power series

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Taylor & Maclaurin polynomials intro

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Taylor polynomial approximation

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Maclaurin series of sin(x), cos(x), and eˣ

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Function as a geometric series

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Power series function representation

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Convergence tests challenge

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Series estimation challenge

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Taylor, Maclaurin, & Power series challenge

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**Power series**with these 10 questions.About this unit

Power series are infinite series of the form Σaₙxⁿ (where n is a positive integer). Even though this family of series has a surprisingly simple behavior, it can be used to approximate very elaborate functions.