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Solutions for Chapter 8.2: Interchange of Limits

Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 8.2: Interchange of Limits

Solutions for Chapter 8.2
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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 8.2: Interchange of Limits have been answered, more than 6321 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 8.2: Interchange of Limits 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
  • Additive identity for the complex numbers

    0 + 0i is the complex number zero

  • Arcsecant function

    See Inverse secant function.

  • Arrow

    The notation PQ denoting the directed line segment with initial point P and terminal point Q.

  • Circular functions

    Trigonometric functions when applied to real numbers are circular functions

  • Direction of an arrow

    The angle the arrow makes with the positive x-axis

  • equation of a parabola

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

  • Focal width of a parabola

    The length of the chord through the focus and perpendicular to the axis.

  • Frequency table (in statistics)

    A table showing frequencies.

  • Geometric sequence

    A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

  • Interval

    Connected subset of the real number line with at least two points, p. 4.

  • kth term of a sequence

    The kth expression in the sequence

  • Line of symmetry

    A line over which a graph is the mirror image of itself

  • Linear function

    A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

  • Maximum r-value

    The value of |r| at the point on the graph of a polar equation that has the maximum distance from the pole

  • NDER ƒ(a)

    See Numerical derivative of ƒ at x = a.

  • Parabola

    The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

  • Power function

    A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

  • Terms of a sequence

    The range elements of a sequence.

  • Unit circle

    A circle with radius 1 centered at the origin.

  • Vertical line test

    A test for determining whether a graph is a function.

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