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# Solutions for Chapter 10.2: The Divergence and Integral Tests

## Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567

Solutions for Chapter 10.2: The Divergence and Integral Tests

Solutions for Chapter 10.2
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##### ISBN: 9780321570567

Summary of Chapter 10.2: The Divergence and Integral Tests

With geometric series and telescoping series, the sequence of partial sums can be found and its limit can be evaluated (when it exists).

This expansive textbook survival guide covers the following chapters and their solutions. Since 106 problems in chapter 10.2: The Divergence and Integral Tests have been answered, more than 407276 students have viewed full step-by-step solutions from this chapter. Chapter 10.2: The Divergence and Integral Tests includes 106 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

Key Calculus Terms and definitions covered in this textbook
• Acute triangle

A triangle in which all angles measure less than 90°

• 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

• Directed angle

See Polar coordinates.

• equation of a parabola

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

• Identity properties

a + 0 = a, a ? 1 = a

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Inverse cotangent function

The function y = cot-1 x

• Irrational numbers

Real numbers that are not rational, p. 2.

• Magnitude of an arrow

The magnitude of PQ is the distance between P and Q

• Matrix, m x n

A rectangular array of m rows and n columns of real numbers

• Nonsingular matrix

A square matrix with nonzero determinant

• Quotient identities

tan ?= sin ?cos ?and cot ?= cos ? sin ?

• Semiminor axis

The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

• 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.

• Stem

The initial digit or digits of a number in a stemplot.

• Tangent

The function y = tan x

• Transformation

A function that maps real numbers to real numbers.

• xz-plane

The points x, 0, z in Cartesian space.

• z-axis

Usually the third dimension in Cartesian space.