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# Solutions for Chapter 9.2: Series and Convergence

## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Solutions for Chapter 9.2: Series and Convergence

Solutions for Chapter 9.2
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##### ISBN: 9780618502981

This textbook survival guide was created for the textbook: Calculus, edition: 8. Chapter 9.2: Series and Convergence includes 135 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus was written by and is associated to the ISBN: 9780618502981. Since 135 problems in chapter 9.2: Series and Convergence have been answered, more than 76579 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Blind experiment

An experiment in which subjects do not know if they have been given an active treatment or a placebo

• Coefficient matrix

A matrix whose elements are the coefficients in a system of linear equations

• Constant function (on an interval)

ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

• Convergence of a sequence

A sequence {an} converges to a if limn: q an = a

• Directed distance

See Polar coordinates.

• Independent variable

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

• Line of travel

The path along which an object travels

• Logistic growth function

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Mathematical model

A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

• Modified boxplot

A boxplot with the outliers removed.

• Observational study

A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

• Point-slope form (of a line)

y - y1 = m1x - x 12.

• Power-reducing identity

A trigonometric identity that reduces the power to which the trigonometric functions are raised.

• Rational zeros

Zeros of a function that are rational numbers.

• Reciprocal of a real number

See Multiplicative inverse of a real number.

• Rectangular coordinate system

See Cartesian coordinate system.

• Reference angle

See Reference triangle

A graph in which (x, -y) is on the graph whenever (x, y) is; or a graph in which (r, -?) or (-r, ?, -?) is on the graph whenever (r, ?) is

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

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