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# Solutions for Chapter 13: Limits: A Preview of Calculus ## Full solutions for Precalculus: Mathematics for Calculus (Standalone Book) | 7th Edition

ISBN: 9781305071759 Solutions for Chapter 13: Limits: A Preview of Calculus

Solutions for Chapter 13
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##### ISBN: 9781305071759

Precalculus: Mathematics for Calculus (Standalone Book) was written by and is associated to the ISBN: 9781305071759. Chapter 13: Limits: A Preview of Calculus includes 49 full step-by-step solutions. Since 49 problems in chapter 13: Limits: A Preview of Calculus have been answered, more than 7636 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus: Mathematics for Calculus (Standalone Book), edition: 7. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Common logarithm

A logarithm with base 10.

• Compounded annually

See Compounded k times per year.

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Demand curve

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

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Eccentricity

A nonnegative number that specifies how off-center the focus of a conic is

• Elimination method

A method of solving a system of linear equations

• Equivalent vectors

Vectors with the same magnitude and direction.

• Frequency table (in statistics)

A table showing frequencies.

• Grapher or graphing utility

Graphing calculator or a computer with graphing software.

• Irrational numbers

Real numbers that are not rational, p. 2.

• LRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval

• Nautical mile

Length of 1 minute of arc along the Earth’s equator.

• Positive linear correlation

See Linear correlation.

• Sum identity

An identity involving a trigonometric function of u + v

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

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