Solutions for Chapter 9.4: Series of Functions

Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 9.4: Series of Functions

Solutions for Chapter 9.4
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Textbook: Introduction to Real Analysis
Edition: 3
Author: Robert G. Bartle, Donald R. Sherbert
ISBN: 9780471321484

This expansive textbook survival guide covers the following chapters and their solutions. Introduction to Real Analysis was written by and is associated to the ISBN: 9780471321484. Since 20 problems in chapter 9.4: Series of Functions have been answered, more than 3155 students have viewed full step-by-step solutions from this chapter. Chapter 9.4: Series of Functions includes 20 full step-by-step solutions. This textbook survival guide was created for the textbook: Introduction to Real Analysis, edition: 3.

Key Calculus Terms and definitions covered in this textbook
  • Complex plane

    A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

  • Constant

    A letter or symbol that stands for a specific number,

  • Constant function (on an interval)

    ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

  • Conversion factor

    A ratio equal to 1, used for unit conversion

  • DMS measure

    The measure of an angle in degrees, minutes, and seconds

  • Double-blind experiment

    A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

  • Equal complex numbers

    Complex numbers whose real parts are equal and whose imaginary parts are equal.

  • Exponential growth function

    Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

  • Imaginary part of a complex number

    See Complex number.

  • Least-squares line

    See Linear regression line.

  • Limit

    limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

  • Matrix element

    Any of the real numbers in a matrix

  • nth power of a

    The number with n factors of a , where n is the exponent and a is the base.

  • Origin

    The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

  • Parametrization

    A set of parametric equations for a curve.

  • Product of complex numbers

    (a + bi)(c + di) = (ac - bd) + (ad + bc)i

  • Singular matrix

    A square matrix with zero determinant

  • Transpose of a matrix

    The matrix AT obtained by interchanging the rows and columns of A.

  • Vertical translation

    A shift of a graph up or down.

  • y-axis

    Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

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