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Mastering Advanced Calculus: Techniques, Series, and Applications

Explore the applications of definite integrals, transcendental functions, and advanced integration techniques. Dive into infinite sequences and series, parametric equations, and polar coordinates. Delve into key concepts such as power series, Taylor and Maclaurin series, and convergence tests. Ideal for students and enthusiasts looking to deepen their understanding of calculus.

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Mastering Advanced Calculus: Techniques, Series, and Applications

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  1. Advance Calculus Contents: Applications of Definite Integrals Transcendental Functions Techniques of Integration Infinite Sequences and Series Parametric Equations and Polar Coordinates DiyakoGhaderyan

  2. Contents: • Sequences • Infinite Series • The Integral Test • Comparison Tests • The Ratio and Root Tests • Alternating Series, Absolute and Conditional • Convergence • Power Series • Taylor and Maclaurin Series • Convergence of Taylor Series • The Binomial Series and Applications of Taylor Series

  3. 10.7 Power Series

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