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Solutions for Chapter 9.2: Tests for Absolute Convergence

Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 9.2: Tests for Absolute Convergence

Solutions for Chapter 9.2
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Textbook: Introduction to Real Analysis
Edition: 3
Author: Robert G. Bartle, Donald R. Sherbert
ISBN: 9780471321484

Since 20 problems in chapter 9.2: Tests for Absolute Convergence have been answered, more than 8713 students have viewed full step-by-step solutions from this chapter. Introduction to Real Analysis was written by and is associated to the ISBN: 9780471321484. This textbook survival guide was created for the textbook: Introduction to Real Analysis, edition: 3. Chapter 9.2: Tests for Absolute Convergence includes 20 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
  • Additive identity for the complex numbers

    0 + 0i is the complex number zero

  • Additive inverse of a complex number

    The opposite of a + bi, or -a - bi

  • Angle of elevation

    The acute angle formed by the line of sight (upward) and the horizontal

  • equation of a parabola

    (x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

  • First quartile

    See Quartile.

  • Horizontal translation

    A shift of a graph to the left or right.

  • Identity

    An equation that is always true throughout its domain.

  • Inferential statistics

    Using the science of statistics to make inferences about the parameters in a population from a sample.

  • Initial value of a function

    ƒ 0.

  • Parameter interval

    See Parametric equations.

  • Position vector of the point (a, b)

    The vector <a,b>.

  • Quotient rule of logarithms

    logb a R S b = logb R - logb S, R > 0, S > 0

  • Sinusoid

    A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

  • Solve an equation or inequality

    To find all solutions of the equation or inequality

  • Standard representation of a vector

    A representative arrow with its initial point at the origin

  • Sum of an infinite series

    See Convergence of a series

  • Sum of complex numbers

    (a + bi) + (c + di) = (a + c) + (b + d)i

  • Vector

    An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

  • Weighted mean

    A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

  • z-coordinate

    The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

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