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# Solutions for Chapter 2.2: The Limit of a Function

## Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 2.2: The Limit of a Function

Solutions for Chapter 2.2
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##### ISBN: 9781305270336

Chapter 2.2: The Limit of a Function includes 55 full step-by-step solutions. Since 55 problems in chapter 2.2: The Limit of a Function have been answered, more than 95707 students have viewed full step-by-step solutions from this chapter. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8.

Key Calculus Terms and definitions covered in this textbook
• Amplitude

See Sinusoid.

• Cofunction identity

An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

• Dependent event

An event whose probability depends on another event already occurring

• Dependent variable

Variable representing the range value of a function (usually y)

• Differentiable at x = a

ƒ'(a) exists

• Divisor of a polynomial

See Division algorithm for polynomials.

• equation of a hyperbola

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

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

• Re-expression of data

A transformation of a data set.

• Rigid transformation

A transformation that leaves the basic shape of a graph unchanged.

• Row echelon form

A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

• Second

Angle measure equal to 1/60 of a minute.

• Slant asymptote

An end behavior asymptote that is a slant line

• Solve graphically

Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

• Transverse axis

The line segment whose endpoints are the vertices of a hyperbola.

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

• Yscl

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

• Zero of a function

A value in the domain of a function that makes the function value zero.