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# Solutions for Chapter 11.6: Absolute Convergence and the Ratio and Root Tests

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

ISBN: 9781305270336

Solutions for Chapter 11.6: Absolute Convergence and the Ratio and Root Tests

Solutions for Chapter 11.6
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##### ISBN: 9781305270336

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. This expansive textbook survival guide covers the following chapters and their solutions. Since 53 problems in chapter 11.6: Absolute Convergence and the Ratio and Root Tests have been answered, more than 96300 students have viewed full step-by-step solutions from this chapter. Chapter 11.6: Absolute Convergence and the Ratio and Root Tests includes 53 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook

If u = v and w = z , then u + w = v + z

• Chord of a conic

A line segment with endpoints on the conic

• Cotangent

The function y = cot x

• Difference identity

An identity involving a trigonometric function of u - v

• Equation

A statement of equality between two expressions.

• Expanded form of a series

A series written explicitly as a sum of terms (not in summation notation).

• Exponential form

An equation written with exponents instead of logarithms.

• Fibonacci numbers

The terms of the Fibonacci sequence.

• Half-plane

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

• Inverse secant function

The function y = sec-1 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

• Linear combination of vectors u and v

An expression au + bv , where a and b are real numbers

• Monomial function

A polynomial with exactly one term.

• Parametric curve

The graph of parametric equations.

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

An angle in standard position whose terminal side lies on an axis.

• Real number

Any number that can be written as a decimal.

• Real number line

A horizontal line that represents the set of real numbers.

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

• Wrapping function

The function that associates points on the unit circle with points on the real number line