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# Solutions for Chapter 11.4: The Comparison Tests

## Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 11.4: The Comparison Tests

Solutions for Chapter 11.4
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##### ISBN: 9781305270336

Chapter 11.4: The Comparison Tests includes 46 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Since 46 problems in chapter 11.4: The Comparison Tests have been answered, more than 96151 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Center

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

• Combinations of n objects taken r at a time

There are nCr = n! r!1n - r2! such combinations,

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Fibonacci sequence

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

• Gaussian curve

See Normal curve.

• General form (of a line)

Ax + By + C = 0, where A and B are not both zero.

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Identity

An equation that is always true throughout its domain.

• Infinite limit

A special case of a limit that does not exist.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Leibniz notation

The notation dy/dx for the derivative of ƒ.

• Mode of a data set

The category or number that occurs most frequently in the set.

• Natural numbers

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

• Nonsingular matrix

A square matrix with nonzero determinant

• Octants

The eight regions of space determined by the coordinate planes.

• Phase shift

See Sinusoid.

• Polynomial function

A function in which ƒ(x)is a polynomial in x, p. 158.

• Solve an equation or inequality

To find all solutions of the equation or inequality

• Triangular form

A special form for a system of linear equations that facilitates finding the solution.

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.