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# Solutions for Chapter 2.4: Continuity and One-Sided Limits

## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter 2.4: Continuity and One-Sided Limits

Solutions for Chapter 2.4
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##### ISBN: 9781285774770

This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This expansive textbook survival guide covers the following chapters and their solutions. Since 130 problems in chapter 2.4: Continuity and One-Sided Limits have been answered, more than 47700 students have viewed full step-by-step solutions from this chapter. Chapter 2.4: Continuity and One-Sided Limits includes 130 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arctangent function

See Inverse tangent function.

• Convergence of a series

A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

• Dependent variable

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

• Exponent

See nth power of a.

• Frequency table (in statistics)

A table showing frequencies.

• Geometric series

A series whose terms form a geometric sequence.

• Inverse secant function

The function y = sec-1 x

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• Normal curve

The graph of ƒ(x) = e-x2/2

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Quotient rule of logarithms

logb a R S b = logb R - logb S, R > 0, S > 0

• Range screen

See Viewing window.

• Slope

Ratio change in y/change in x

A graph in which (-x, y) is on the graph whenever (x, y) is; or a graph in which (-r, -?) or (r, ?, -?) is on the graph whenever (r, ?) is

• Unit circle

A circle with radius 1 centered at the origin.

• Unit vector

Vector of length 1.

• Vertex of an angle

See Angle.

• Vertices of an ellipse

The points where the ellipse intersects its focal axis.

• y-axis

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

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