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Solutions for Chapter 4.2: 4.2 Limit Theorems

Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 4.2: 4.2 Limit Theorems

This textbook survival guide was created for the textbook: Introduction to Real Analysis, edition: 3. Chapter 4.2: 4.2 Limit Theorems includes 14 full step-by-step solutions. 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 14 problems in chapter 4.2: 4.2 Limit Theorems have been answered, more than 6851 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Amplitude

    See Sinusoid.

  • Binomial probability

    In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

  • Complex fraction

    See Compound fraction.

  • 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

  • Cosine

    The function y = cos x

  • Descriptive statistics

    The gathering and processing of numerical information

  • Directed angle

    See Polar coordinates.

  • Equivalent equations (inequalities)

    Equations (inequalities) that have the same solutions.

  • Heron’s formula

    The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

  • Implied domain

    The domain of a function’s algebraic expression.

  • Magnitude of a real number

    See Absolute value of a real number

  • Multiplication principle of probability

    If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

  • Parallel lines

    Two lines that are both vertical or have equal slopes.

  • PH

    The measure of acidity

  • Quartic function

    A degree 4 polynomial function.

  • Sum of two vectors

    <u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

  • Supply curve

    p = ƒ(x), where x represents production and p represents price

  • Tangent

    The function y = tan x

  • Unit circle

    A circle with radius 1 centered at the origin.

  • y-axis

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

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