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Math
CalculusCalculus10th Edition

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Chapter 8.7, Problem 115E
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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
Problem 75E
Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
Problem 81E
Problem 82E
Problem 83E
Problem 84E
Problem 85E
Problem 86E
Problem 87E
Problem 88E
Problem 89E
Problem 90E
Problem 91E
Problem 92E
Problem 93E
Problem 94E
Problem 95E
Problem 96E
Problem 97E
Problem 98E
Problem 99E
Problem 100E
Problem 101E
Problem 102E
Problem 103E
Problem 104E
Problem 105E
Problem 106E
Problem 107E
Problem 108E
Problem 109E
Problem 110E
Problem 111E
Problem 112E
Problem 113E
Problem 114E
Problem 115E
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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095
Textbook Problem

Evaluate lim x → ∞ [ 1 x ⋅ a x − 1 a − 1 ] 1 / x

where a > 0, a ≠ 1.

To determine

To calculate: The value of limit limx→∞[ 1x⋅ax−1a−1 ]1x.

Explanation

Given:

The limit,limx→∞[ 1x⋅ax−1

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Chapter 8.7,
Problem 114E
Chapter 8.8,
Problem 1E
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Sect-8.1 P-1ESect-8.1 P-2ESect-8.1 P-3ESect-8.1 P-4ESect-8.1 P-5ESect-8.1 P-6ESect-8.1 P-7ESect-8.1 P-8ESect-8.1 P-9ESect-8.1 P-10E
Sect-8.1 P-11ESect-8.1 P-12ESect-8.1 P-13ESect-8.1 P-14ESect-8.1 P-15ESect-8.1 P-16ESect-8.1 P-17ESect-8.1 P-18ESect-8.1 P-19ESect-8.1 P-20ESect-8.1 P-21ESect-8.1 P-22ESect-8.1 P-23ESect-8.1 P-24ESect-8.1 P-25ESect-8.1 P-26ESect-8.1 P-27ESect-8.1 P-28ESect-8.1 P-29ESect-8.1 P-30ESect-8.1 P-31ESect-8.1 P-32ESect-8.1 P-33ESect-8.1 P-34ESect-8.1 P-35ESect-8.1 P-36ESect-8.1 P-37ESect-8.1 P-38ESect-8.1 P-39ESect-8.1 P-40ESect-8.1 P-41ESect-8.1 P-42ESect-8.1 P-43ESect-8.1 P-44ESect-8.1 P-45ESect-8.1 P-46ESect-8.1 P-47ESect-8.1 P-48ESect-8.1 P-49ESect-8.1 P-50ESect-8.1 P-51ESect-8.1 P-52ESect-8.1 P-53ESect-8.1 P-54ESect-8.1 P-55ESect-8.1 P-56ESect-8.1 P-57ESect-8.1 P-58ESect-8.1 P-59ESect-8.1 P-60ESect-8.1 P-61ESect-8.1 P-62ESect-8.1 P-63ESect-8.1 P-64ESect-8.1 P-65ESect-8.1 P-66ESect-8.1 P-67ESect-8.1 P-68ESect-8.1 P-69ESect-8.1 P-70ESect-8.1 P-71ESect-8.1 P-72ESect-8.1 P-73ESect-8.1 P-74ESect-8.1 P-75ESect-8.1 P-76ESect-8.1 P-77ESect-8.1 P-78ESect-8.1 P-79ESect-8.1 P-80ESect-8.1 P-81ESect-8.1 P-82ESect-8.1 P-83ESect-8.1 P-84ESect-8.1 P-85ESect-8.1 P-86ESect-8.1 P-87ESect-8.1 P-88ESect-8.1 P-89ESect-8.1 P-90ESect-8.1 P-91ESect-8.1 P-92ESect-8.1 P-93ESect-8.1 P-94ESect-8.1 P-95ESect-8.1 P-96ESect-8.1 P-97ESect-8.1 P-98ESect-8.1 P-99ESect-8.1 P-100ESect-8.2 P-1ESect-8.2 P-2ESect-8.2 P-3ESect-8.2 P-4ESect-8.2 P-5ESect-8.2 P-6ESect-8.2 P-7ESect-8.2 P-8ESect-8.2 P-9ESect-8.2 P-10ESect-8.2 P-11ESect-8.2 P-12ESect-8.2 P-13ESect-8.2 P-14ESect-8.2 P-15ESect-8.2 P-16ESect-8.2 P-17ESect-8.2 P-18ESect-8.2 P-19ESect-8.2 P-20ESect-8.2 P-21ESect-8.2 P-22ESect-8.2 P-23ESect-8.2 P-24ESect-8.2 P-25ESect-8.2 P-26ESect-8.2 P-27ESect-8.2 P-28ESect-8.2 P-29ESect-8.2 P-30ESect-8.2 P-31ESect-8.2 P-32ESect-8.2 P-33ESect-8.2 P-34ESect-8.2 P-35ESect-8.2 P-36ESect-8.2 P-37ESect-8.2 P-38ESect-8.2 P-39ESect-8.2 P-40ESect-8.2 P-41ESect-8.2 P-42ESect-8.2 P-43ESect-8.2 P-44ESect-8.2 P-45ESect-8.2 P-46ESect-8.2 P-47ESect-8.2 P-48ESect-8.2 P-49ESect-8.2 P-50ESect-8.2 P-51ESect-8.2 P-52ESect-8.2 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P-7ESect-8.5 P-8ESect-8.5 P-9ESect-8.5 P-10ESect-8.5 P-11ESect-8.5 P-12ESect-8.5 P-13ESect-8.5 P-14ESect-8.5 P-15ESect-8.5 P-16ESect-8.5 P-17ESect-8.5 P-18ESect-8.5 P-19ESect-8.5 P-20ESect-8.5 P-21ESect-8.5 P-22ESect-8.5 P-23ESect-8.5 P-24ESect-8.5 P-25ESect-8.5 P-26ESect-8.5 P-27ESect-8.5 P-28ESect-8.5 P-29ESect-8.5 P-30ESect-8.5 P-31ESect-8.5 P-32ESect-8.5 P-33ESect-8.5 P-34ESect-8.5 P-35ESect-8.5 P-36ESect-8.5 P-37ESect-8.5 P-38ESect-8.5 P-39ESect-8.5 P-40ESect-8.5 P-41ESect-8.5 P-42ESect-8.5 P-43ESect-8.5 P-44ESect-8.5 P-45ESect-8.5 P-46ESect-8.5 P-47ESect-8.5 P-48ESect-8.5 P-49ESect-8.5 P-50ESect-8.5 P-51ESect-8.5 P-52ESect-8.6 P-1ESect-8.6 P-2ESect-8.6 P-3ESect-8.6 P-4ESect-8.6 P-5ESect-8.6 P-6ESect-8.6 P-7ESect-8.6 P-8ESect-8.6 P-9ESect-8.6 P-10ESect-8.6 P-11ESect-8.6 P-12ESect-8.6 P-13ESect-8.6 P-14ESect-8.6 P-15ESect-8.6 P-16ESect-8.6 P-17ESect-8.6 P-18ESect-8.6 P-19ESect-8.6 P-20ESect-8.6 P-21ESect-8.6 P-22ESect-8.6 P-23ESect-8.6 P-24ESect-8.6 P-25ESect-8.6 P-26ESect-8.6 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P-15RECh-8 P-16RECh-8 P-17RECh-8 P-18RECh-8 P-19RECh-8 P-20RECh-8 P-21RECh-8 P-22RECh-8 P-23RECh-8 P-24RECh-8 P-25RECh-8 P-26RECh-8 P-27RECh-8 P-28RECh-8 P-29RECh-8 P-30RECh-8 P-31RECh-8 P-32RECh-8 P-33RECh-8 P-34RECh-8 P-35RECh-8 P-36RECh-8 P-37RECh-8 P-38RECh-8 P-39RECh-8 P-40RECh-8 P-41RECh-8 P-42RECh-8 P-43RECh-8 P-44RECh-8 P-45RECh-8 P-46RECh-8 P-47RECh-8 P-48RECh-8 P-49RECh-8 P-50RECh-8 P-51RECh-8 P-52RECh-8 P-53RECh-8 P-54RECh-8 P-55RECh-8 P-56RECh-8 P-57RECh-8 P-58RECh-8 P-59RECh-8 P-60RECh-8 P-61RECh-8 P-62RECh-8 P-63RECh-8 P-64RECh-8 P-65RECh-8 P-66RECh-8 P-67RECh-8 P-68RECh-8 P-69RECh-8 P-70RECh-8 P-71RECh-8 P-72RECh-8 P-73RECh-8 P-74RECh-8 P-75RECh-8 P-76RECh-8 P-77RECh-8 P-78RECh-8 P-79RECh-8 P-80RECh-8 P-81RECh-8 P-82RECh-8 P-83RECh-8 P-84RECh-8 P-85RECh-8 P-86RECh-8 P-87RECh-8 P-88RECh-8 P-89RECh-8 P-90RECh-8 P-91RECh-8 P-1PSCh-8 P-2PSCh-8 P-3PSCh-8 P-4PSCh-8 P-5PSCh-8 P-6PSCh-8 P-7PSCh-8 P-8PSCh-8 P-9PSCh-8 P-10PSCh-8 P-11PSCh-8 P-12PSCh-8 P-13PSCh-8 P-14PSCh-8 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Use the scalar triple product to determine whether the points A(1, 3, 2), B(3, 1, 6). C(5, 2, 0), and D(3, 6, 4...

Calculus: Early Transcendentals

Graphing Polynomials Factor the polynomial and use the factored form to find the zeros. Then sketch the graph. ...

Precalculus: Mathematics for Calculus (Standalone Book)

Use a calculator or computer to make a table of values of right Riemann sums Rn for the integral 0sinxdx with n...

Single Variable Calculus: Early Transcendentals

If the line passing through the points (a, 1) and (5, 8) is parallel to the line passing through the points (4,...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Find the point at which the line intersects the given plane. 45. x = 2 2t, y = 3t, z = 1 + t; x + 2y z = 7

Multivariable Calculus

5960 Find symmetric equations for the line of intersection of the planes. z=2xy5, z=4x+3y5

Calculus (MindTap Course List)

Using the Point-Slope Form In Exercises 5360, find an equation of the line that passes through the given point ...

Calculus: An Applied Approach (MindTap Course List)

Area The sides of a square are 16 inches in length. A new square is formed by connecting the midpoints of the s...

Calculus: Early Transcendental Functions

Solve the equations in Exercises 126. 6x(x2+1)2(x2+2)48x(x2+1)3(x2+2)3(x2+2)8=0

Finite Mathematics and Applied Calculus (MindTap Course List)

Sketch the graph of the function. 46. f(x) = |x + 2|

Single Variable Calculus

Use Newtons method to find all the solutions of the equation correct to eight decimal places. Start by drawing ...

Single Variable Calculus: Early Transcendentals, Volume I

Using Newton's Method In Exercises 3-6, calculate two iterations of Newton's Method to approximate a zero of th...

Calculus of a Single Variable

Convert the expressions in Exercises 6584 to power form. 3x1.2213x2.1

Applied Calculus

Explain why the formula for sample variance is different from the formula for population variance.

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

At time t = 0, 20 identical components are tested. The lifetime distribution of each is exponential with parame...

Probability and Statistics for Engineering and the Sciences

Simulate the results of tossing a fair die 18 times. Repeat the simulation. Are the results the same? Did you e...

Understanding Basic Statistics

Distance and Bearing Problems 27 through 32 involve directions in the form of bearing, which we defined in this...

Trigonometry (MindTap Course List)

The ratio of the circumferences of two circles is 2:1. What is ratio of their areas?

Elementary Geometry For College Students, 7e

Simplify: (16x2y3)(5x4y5)

Elementary Technical Mathematics

13. A normal distribution has a mean .of µ=30 and a standard deviation of =12.For each ,of the following core i...

Statistics for The Behavioral Sciences (MindTap Course List)

a. What is the maturity date of a loan taken out on September 9 for 125 days? b. On October 21. Jill Voorhis we...

Contemporary Mathematics for Business & Consumers

For a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of the area is...

Essentials Of Statistics

For Problems 51-66, use an algebraic approach to solve each problem. Objective 2 If 15 is subtracted from three...

Intermediate Algebra

Find a counterexample to show that the following conjecture is false. Conjecture: For all numbers x,x4x.

Mathematical Excursions (MindTap Course List)

Find the derivatives of the functions in Problems 1-14. 13.

Mathematical Applications for the Management, Life, and Social Sciences

Exercises 16. Assume that the nonzero complex numbers form a group with respect to multiplication. If and ar...

Elements Of Modern Algebra

In Exercises 9-14, decide whether the specified values come from a linear, quadratic, exponential, or absolute ...

Finite Mathematics

Using a Power Series In Exercises 19-28, use the power series 11+x=n=0(1)nxn,x1 to find a power series for the ...

Calculus: Early Transcendental Functions (MindTap Course List)

Find the area of a regular hexagon whose apothem has length 9 in.

Elementary Geometry for College Students

In Exercises 1926, pivot the system about the circled element. [3242|65]

Finite Mathematics for the Managerial, Life, and Social Sciences

True or False: If f(x) is continuous and decreasing, f(n) = an for all n = 1, 2, 3, …, and

Study Guide for Stewart's Multivariable Calculus, 8th

Finding a Limit In Exercises 6570, find the limit (if it exists). limt(eti+1tj+t1/tk)

Calculus (MindTap Course List)

EXPLORING CONCEPTS Think About It In Exercises 95-100, find inequalities that describe the solid and state the ...

Multivariable Calculus

The length of the are r = e for 0 is given by: a) 0ed b) 02e2d c) 02ed d) 02ed

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

In addition to the key words, you should also be able to define the following terms: Two-factor design Single-f...

Research Methods for the Behavioral Sciences (MindTap Course List)

Describe why you might be cautious about using the Internet to find answers to medical questions.

Research Methods for the Behavioral Sciences (MindTap Course List)

Let x be the size of a house (in square feet) and y be the amount of natural gas used (therms) during a specifi...

Introduction To Statistics And Data Analysis

The estimated regression equation for a model involving two independent variables and 10 observations follows. ...

Statistics for Business & Economics, Revised (MindTap Course List)

Points A and C are tangent points, DC is a diameter, AC=116,EC=140,EF=64, and CH=42. Determine angles 1 through...

Mathematics For Machine Technology

Solve each formula for the specified variable. 1r=1r1+1r2; r1.

College Algebra (MindTap Course List)

In exercise 4, the following estimated regression equation relating sales to inventory investment and advertisi...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

In Exercises 9-24, use Figure 3.1 to find the outcome of the bets in roulette, given the results listed. You be...

Mathematics: A Practical Odyssey

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