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# Solutions for Chapter 1.4: Continuity and One-Sided Limits ## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981 Solutions for Chapter 1.4: Continuity and One-Sided Limits

Solutions for Chapter 1.4
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##### ISBN: 9780618502981

Since 114 problems in chapter 1.4: Continuity and One-Sided Limits have been answered, more than 78358 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 1.4: Continuity and One-Sided Limits includes 114 full step-by-step solutions. Calculus was written by and is associated to the ISBN: 9780618502981. This textbook survival guide was created for the textbook: Calculus, edition: 8.

Key Calculus Terms and definitions covered in this textbook
• Amplitude

See Sinusoid.

• Angle between vectors

The angle formed by two nonzero vectors sharing a common initial point

• Angle of elevation

The acute angle formed by the line of sight (upward) and the horizontal

• Bounded above

A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

• Circle

A set of points in a plane equally distant from a fixed point called the center

• Cube root

nth root, where n = 3 (see Principal nth root),

• Differentiable at x = a

ƒ'(a) exists

• Directed distance

See Polar coordinates.

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Endpoint of an interval

A real number that represents one “end” of an interval.

• Factor

In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Inequality symbol or

<,>,<,>.

• Linear combination of vectors u and v

An expression au + bv , where a and b are real numbers

• Pie chart

See Circle graph.

• Solve by substitution

Method for solving systems of linear equations.

• Sum of an infinite geometric series

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

• y-axis

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

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