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Solutions for Chapter 9.3: Tests for Nonabsolute Convergence

Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 9.3: Tests for Nonabsolute Convergence

Since 15 problems in chapter 9.3: Tests for Nonabsolute Convergence have been answered, more than 9715 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 expansive textbook survival guide covers the following chapters and their solutions. Chapter 9.3: Tests for Nonabsolute Convergence includes 15 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
  • Absolute value of a vector

    See Magnitude of a vector.

  • Algebraic expression

    A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

  • Bounded above

    A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

  • Complex number

    An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

  • Expanded form of a series

    A series written explicitly as a sum of terms (not in summation notation).

  • Exponential function

    A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

  • First-degree equation in x , y, and z

    An equation that can be written in the form.

  • Limit at infinity

    limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

  • Lower bound for real zeros

    A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

  • Multiplication property of equality

    If u = v and w = z, then uw = vz

  • Polynomial function

    A function in which ƒ(x)is a polynomial in x, p. 158.

  • Quotient of functions

    a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

  • Real part of a complex number

    See Complex number.

  • Scalar

    A real number.

  • Scientific notation

    A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

  • Sum of functions

    (ƒ + g)(x) = ƒ(x) + g(x)

  • Terminal side of an angle

    See Angle.

  • Variable

    A letter that represents an unspecified number.

  • Variation

    See Power function.

  • Vertical translation

    A shift of a graph up or down.

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