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Chapter 1: Q. 72 (page 88)

Use calculator graphs to make approximations for each of the limits in Exercises 67鈥�74.

limx鈫�鈭�lnxx

Short Answer

Expert verified

The approximated value of the limit is limx鈫�鈭�lnxx=0by using the calculator graph.

The graph is

Step by step solution

01

Step 1. Given Information.

The given limit islimx鈫�鈭�lnxx.

02

Step 2. Approximating the limit by using the calculator graphs. 

To approximate the limit by using the calculator graphs. Insert the function in the calculator then adjust the Window.

So, the graph is

From the graph, we can depict that for x鈫�鈭�the value of the function tends to0.

Thus, the limit expression has the value oflimx鈫�鈭�lnxx=0.

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Most popular questions from this chapter

Write delta-epsilon proofs for each of the limit statements limx鈫�cfx=Lin Exercises 47-60.

limx鈫�-6x+2=-4.

For each function f graphed in Exercises 23鈥�26, describe the intervals on which f is continuous. For each discontinuity of f, describe the type of discontinuity and any one-sided continuity. Justify your answers about discontinuities with limit statements.

Calculate each of the limits:

limh鈫�0(3+h)2-32h.

Write delta-epsilon proofs for each of the limit statements limx鈫�cfx=Lin Exercises 47-60.

limx鈫�3x2-6x+11=2.

limx鈫�+22x-4
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