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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

Solutions for Chapter 4.2
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##### ISBN: 9780471321484

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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