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# Solutions for Chapter 9.4: Series of Functions

## Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 9.4: Series of Functions

Solutions for Chapter 9.4
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##### ISBN: 9780471321484

This expansive textbook survival guide covers the following chapters and their solutions. Introduction to Real Analysis was written by and is associated to the ISBN: 9780471321484. Since 20 problems in chapter 9.4: Series of Functions have been answered, more than 9581 students have viewed full step-by-step solutions from this chapter. Chapter 9.4: Series of Functions includes 20 full step-by-step solutions. This textbook survival guide was created for the textbook: Introduction to Real Analysis, edition: 3.

Key Calculus Terms and definitions covered in this textbook
• Annual percentage rate (APR)

The annual interest rate

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Complex plane

A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

• Composition of functions

(f ? g) (x) = f (g(x))

• Conversion factor

A ratio equal to 1, used for unit conversion

• Factored form

The left side of u(v + w) = uv + uw.

• Function

A relation that associates each value in the domain with exactly one value in the range.

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

See Polynomial function in x

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Natural logarithm

A logarithm with base e.

• Objective function

See Linear programming problem.

• Parabola

The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

• Randomization

The principle of experimental design that makes it possible to use the laws of probability when making inferences.

• Range screen

See Viewing window.

• Remainder polynomial

See Division algorithm for polynomials.

• Right angle

A 90° angle.

• Singular matrix

A square matrix with zero determinant

• Sum of complex numbers

(a + bi) + (c + di) = (a + c) + (b + d)i

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

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