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Solutions for Chapter 9.6: The Ratio and Root Tests

Calculus | 9th Edition | ISBN: 9780547167022 | Authors: Ron Larson, Bruce H. Edwards

Full solutions for Calculus | 9th Edition

ISBN: 9780547167022

Calculus | 9th Edition | ISBN: 9780547167022 | Authors: Ron Larson, Bruce H. Edwards

Solutions for Chapter 9.6: The Ratio and Root Tests

Solutions for Chapter 9.6
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Textbook: Calculus
Edition: 9
Author: Ron Larson, Bruce H. Edwards
ISBN: 9780547167022

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 9.6: The Ratio and Root Tests includes 111 full step-by-step solutions. Calculus was written by and is associated to the ISBN: 9780547167022. Since 111 problems in chapter 9.6: The Ratio and Root Tests have been answered, more than 61103 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus , edition: 9.

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

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

  • Binomial theorem

    A theorem that gives an expansion formula for (a + b)n

  • Bounded above

    A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

  • Cofunction identity

    An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

  • Identity matrix

    A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

  • Identity properties

    a + 0 = a, a ? 1 = a

  • Infinite sequence

    A function whose domain is the set of all natural numbers.

  • Jump discontinuity at x a

    limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

  • Linear combination of vectors u and v

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

  • Linear factorization theorem

    A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

  • Linear regression equation

    Equation of a linear regression line

  • Multiplication principle of probability

    If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

  • Natural logarithm

    A logarithm with base e.

  • Parametric equations

    Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

  • Present value of an annuity T

    he net amount of your money put into an annuity.

  • Quadratic formula

    The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

  • Quartic function

    A degree 4 polynomial function.

  • Reflection through the origin

    x, y and (-x,-y) are reflections of each other through the origin.

  • Variation

    See Power function.

  • Vertex of a parabola

    The point of intersection of a parabola and its line of symmetry.

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