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# Solutions for Chapter 8.8: Power Series

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

ISBN: 9780618149162

Solutions for Chapter 8.8: Power Series

Solutions for Chapter 8.8
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##### ISBN: 9780618149162

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 8.8: Power Series includes 62 full step-by-step solutions. Since 62 problems in chapter 8.8: Power Series have been answered, more than 27775 students have viewed full step-by-step solutions from this chapter. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7.

Key Calculus Terms and definitions covered in this textbook
• Absolute maximum

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

• Complex conjugates

Complex numbers a + bi and a - bi

• Equation

A statement of equality between two expressions.

• equation of an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Horizontal Line Test

A test for determining whether the inverse of a relation is a function.

See Polynomial function in x

• Limit at infinity

limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

• Logarithmic function with base b

The inverse of the exponential function y = bx, denoted by y = logb x

• Ordered pair

A pair of real numbers (x, y), p. 12.

• Partial sums

See Sequence of partial sums.

• Proportional

See Power function

• Solve an equation or inequality

To find all solutions of the equation or inequality

• Symmetric difference quotient of ƒ at a

ƒ(x + h) - ƒ(x - h) 2h

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

• Tangent

The function y = tan x

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• Upper bound for ƒ

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

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