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# Solutions for Chapter 14.2: Limits and Continuity ## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909 Solutions for Chapter 14.2: Limits and Continuity

Solutions for Chapter 14.2
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##### ISBN: 9780538497909

This expansive textbook survival guide covers the following chapters and their solutions. Since 46 problems in chapter 14.2: Limits and Continuity have been answered, more than 33119 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. Chapter 14.2: Limits and Continuity includes 46 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Center

The central point in a circle, ellipse, hyperbola, or sphere

• Compounded k times per year

Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

• Data

Facts collected for statistical purposes (singular form is datum)

• Empty set

A set with no elements

• Fibonacci sequence

The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

• 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

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Inverse function

The inverse relation of a one-to-one function.

• Inverse secant function

The function y = sec-1 x

• Law of sines

sin A a = sin B b = sin C c

• Local extremum

A local maximum or a local minimum

• Number line graph of a linear inequality

The graph of the solutions of a linear inequality (in x) on a number line

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Projectile motion

The movement of an object that is subject only to the force of gravity

• Pseudo-random numbers

Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

• Quartic function

A degree 4 polynomial function.

• Reciprocal function

The function ƒ(x) = 1x

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

• Zero factorial

See n factorial.

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