   Chapter 4.5, Problem 56E Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516

Solutions

Chapter
Section Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Textbook Problem

Numerical, Graphical, and Analytic Analysis In Exercises 53-56, use a graphing utility to complete the table and estimate the limit as x approaches infinity. Then use a graphing utility to graph the function and estimate the limit. Finally. Find the limit analytically and compare your results with the estimates. x 10° 101 102 103 104 105 106 f(x) f ( x ) = x + 1 x x

To determine

To calculate: The limit of the provided expression f(x)=x+1xx at infinity using the tabular method, graphically and analytically.

Explanation

Given:

The expression f(x)=x+1xx and the table,

x100101102103104105106f(x)

Formula used:

The following limits hold:

limx1xr=0,r>0limx1xr=0,r>0

Calculation:

The provided table can be completed with the help of the Ti-83 calculator.

The first entry in the second row would be,

f(100)=(100+1)100+100

Enter this in the calculator to obtain:

f(100)=1

Proceed similarly to obtain the remaining values. This gives the complete table as:

x100101102103104105106f(x)10

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