'Series converge' diaporamas de présentation

INFINITE SEQUENCES AND SERIES

11. INFINITE SEQUENCES AND SERIES. INFINITE SEQUENCES AND SERIES. 11.8 Power Series. In this section, we will learn about: Power series and testing it for convergence or divergence. POWER SERIES. Equation 1. A power series is a series of the form where: x is a variable

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Math 104 - Calculus I

Math 104 - Calculus I. Part 8 Power series, Taylor series. Series. First .. a review of what we have done so far: 1. We examined series of constants and learned that we can say everything there is to say about geometric and telescoping series.

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Differentiation and Applications

Differentiation and Applications. Module 5 Lecture 3. Topic: Series and Approximations. Plot of first 2 terms. Plot of first 6 terms. Converges to a triangular wave. Electronic signals can always be represented by infinite series like this.

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Math 104 - Calculus I

Math 104 - Calculus I. Part 8 Power series, Taylor series. Series. First .. a review of what we have done so far: 1. We examined series of constants and learned that we can say everything there is to say about geometric and telescoping series.

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Taylor Series

Taylor Series. The Coefficients of a Power Series. Coefficients of a Power Series. Suppose that we have function f given by a power series. What can we say about the relationship between f and the coefficients a 0 , a 1 , a 2 , a 3 , a 4 , a 5 , . . ?.

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Taylor Series

Taylor Series. The Coefficients of a Power Series. Coefficients of a Power Series. Suppose that we have function f given by a power series. What can we say about the relationship between f and the coefficients a 0 , a 1 , a 2 , a 3 , a 4 , a 5 , . . ?.

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Taylor Series

Taylor Series. The Coefficients of a Power Series. Coefficients of a Power Series. Suppose that we have function f given by a power series. What can we say about the relationship between f and the coefficients a 0 , a 1 , a 2 , a 3 , a 4 , a 5 , . . ?.

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Error Approximation: Alternating Power Series

Error Approximation: Alternating Power Series. What are the advantages and limitations of graphical comparisons? Alternating series are easy to understand. Frequently asked on free-response section of AP test.

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IMPROPER INTEGRALS

IMPROPER INTEGRALS. THE COMPARISON TESTS. In the comparison tests the idea is to compare a given series with a series that is known to be convergent or divergent. THEOREM: (THE COMPARISON TEST). convg. Known Series. Example:. Determine whether the series converges or diverges. geometric.

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IMPROPER INTEGRALS

IMPROPER INTEGRALS. THE COMPARISON TESTS. In the comparison tests the idea is to compare a given series with a series that is known to be convergent or divergent. THEOREM: (THE COMPARISON TEST). convg. Known Series. Example:. Determine whether the series converges or diverges. geometric.

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9.4

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Taylor Series

Taylor Series. The Coefficients of a Power Series. Coefficients of a Power Series. Suppose that we have function f given by a power series. What can we say about the relationship between f and the coefficients a 0 , a 1 , a 2 , a 3 , a 4 , a 5 , . . ?.

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Today in Precalculus

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Absolute vs. Conditional Convergence

Absolute vs. Conditional Convergence. Alternating Series and the Alternating Series Test. Series with Positive Terms. Recall that series in which all the terms are positive have an especially simple structure when it comes to convergence. .

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The Direct Comparison Test (Note: all terms must be positive)

The Direct Comparison Test (Note: all terms must be positive). Part 1 The series diverges if there exists another series such that b n < a n and b n diverges, then the series diverges. Part 2 The series converges if there exists another

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Suppose that a power seriesExperience Tradition/tutorialoutledotcom

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