×

×

# Solutions for Chapter 2.3: The Precise Definition of a Limit ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 2.3: The Precise Definition of a Limit

Solutions for Chapter 2.3
4 5 0 283 Reviews
28
0
##### ISBN: 9780321884077

Summary of Chapter 2.3: The Precise Definition of a Limit

With a precise definition, we can avoid misunderstandings, prove the limit properties given in the preceding section, and establish many important limits.

Chapter 2.3: The Precise Definition of a Limit includes 66 full step-by-step solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This expansive textbook survival guide covers the following chapters and their solutions. Since 66 problems in chapter 2.3: The Precise Definition of a Limit have been answered, more than 396060 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a vector

See Magnitude of a vector.

• Blind experiment

An experiment in which subjects do not know if they have been given an active treatment or a placebo

• equation of an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• Geometric series

A series whose terms form a geometric sequence.

• Increasing on an interval

A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

• Initial point

See Arrow.

• Mode of a data set

The category or number that occurs most frequently in the set.

• One-to-one rule of exponents

x = y if and only if bx = by.

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Principal nth root

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• Random behavior

Behavior that is determined only by the laws of probability.

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Rectangular coordinate system

See Cartesian coordinate system.

• Resistant measure

A statistical measure that does not change much in response to outliers.

• Solution of an equation or inequality

A value of the variable (or values of the variables) for which the equation or inequality is true

• Sum of an infinite geometric series

Sn = a 1 - r , |r| 6 1

• Sum of two vectors

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

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Xscl

The scale of the tick marks on the x-axis in a viewing window.