   Chapter 4.4, Problem 88E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Finding Limits and Relative Extrema Use a spreadsheet to complete the table using f ( x ) = ln   x x . x 1 5 10 102 104 106 f(x) (a) Use the table to estimate the limit: lim x → ∞ f ( x ) . (b) Use a graphing utility to estimate the relative extrema of f.

(a)

To determine

The value of the limit limxf(x) by completing the following table for the function f(x)=lnxx using the graphical utility:

 x 1 5 10 102 104 106 f(x)
Explanation

Given Information:

The provided function is f(x)=lnxx and the provided table is as follows:

 x 1 5 10 102 104 106 f(x)

Consider the function, f(x)=lnxx

Use Ti-83 calculator to find the value of f(x)=lnxx rounded to four significant digits,

Step 1: Press ‘ON’ key.

Step 2: Press ‘MODE’ key and set the mode to degree.

Step3: Go to “Y=”button. And write the equation as,

Y1=ln(X)/X

Step 4: Press 2nd then WINDOW key and set the TblStart as 0, ΔTbl as 15 and select Independent as “Ask” and dependent as “Auto”.

Step5: Press 2nd then graph, a table will open. Enter the different values of x from 0 to 100000 and the corresponding value of the equation will obtained in the second column Y1

(b)

To determine

The relative extrema of the function f(x)=lnxx using the technology.

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