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# Solutions for Chapter 2.2: THE LIMIT OF A FUNCTION ## Full solutions for Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) | 4th Edition

ISBN: 9780495559726 Solutions for Chapter 2.2: THE LIMIT OF A FUNCTION

Solutions for Chapter 2.2
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##### ISBN: 9780495559726

Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) was written by and is associated to the ISBN: 9780495559726. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series), edition: 4. Chapter 2.2: THE LIMIT OF A FUNCTION includes 32 full step-by-step solutions. Since 32 problems in chapter 2.2: THE LIMIT OF A FUNCTION have been answered, more than 20839 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Angular speed

Speed of rotation, typically measured in radians or revolutions per unit time

• Arccotangent function

See Inverse cotangent function.

• Bounded interval

An interval that has finite length (does not extend to ? or -?)

• Demand curve

p = g(x), where x represents demand and p represents price

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Equal complex numbers

Complex numbers whose real parts are equal and whose imaginary parts are equal.

• Horizontal asymptote

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

• Identity properties

a + 0 = a, a ? 1 = a

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Leaf

The final digit of a number in a stemplot.

• Linear equation in x

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

• Linear regression equation

Equation of a linear regression line

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• nth root of unity

A complex number v such that vn = 1

• Parameter

See Parametric equations.

• Placebo

In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

• Sine

The function y = sin x.

• Sum of a finite arithmetic series

Sn = na a1 + a2 2 b = n 2 32a1 + 1n - 12d4,

• Symmetric difference quotient of ƒ at a

ƒ(x + h) - ƒ(x - h) 2h

• Vertical stretch or shrink

See Stretch, Shrink.

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