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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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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
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
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    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.

  • Quadrantal angle

    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