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# Solutions for Chapter 1.3: Evaluating Limits Analytically

## Full solutions for Calculus of A Single Variable | 7th Edition

ISBN: 9780618149162

Solutions for Chapter 1.3: Evaluating Limits Analytically

Solutions for Chapter 1.3
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##### ISBN: 9780618149162

Chapter 1.3: Evaluating Limits Analytically includes 124 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Since 124 problems in chapter 1.3: Evaluating Limits Analytically have been answered, more than 23480 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a vector

See Magnitude of a vector.

• Binomial

A polynomial with exactly two terms

• Common difference

See Arithmetic sequence.

• Compounded continuously

Interest compounded using the formula A = Pert

• Compounded monthly

See Compounded k times per year.

• Cube root

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

• Degree of a polynomial (function)

The largest exponent on the variable in any of the terms of the polynomial (function)

• Domain of a function

The set of all input values for a function

• End behavior asymptote of a rational function

A polynomial that the function approaches as.

• Independent variable

Variable representing the domain value of a function (usually x).

• Infinite limit

A special case of a limit that does not exist.

• 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)

• n factorial

For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

• Natural numbers

The numbers 1, 2, 3, . . . ,.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Polar form of a complex number

See Trigonometric form of a complex number.

• Real zeros

Zeros of a function that are real numbers.

• Statute mile

5280 feet.

• x-coordinate

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

• y-coordinate

The directed distance from the x-axis xz-plane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.

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