Concept explainers
The limit of the expression
Answer to Problem 1RE
Solution:
The value of the expression
Explanation of Solution
Given Information:
Consider the provided function is
Consider the provided expression is
As
Construct a table representing the number that the corresponding values of
Choose values of
Take
and find the corresponding value of
Thus,
Choose an additional value of
Take
and find the corresponding value of
Thus,
Choose an additional value of
Take
and find the corresponding value of
Thus,
List the values of
0.99 | 2.9701 |
0.999 | 2.997001 |
0.9999 | 2.99970001 |
From the above table, it is clear that, as
Now choose values of
Take
and find the corresponding value of
Thus,
Choose an additional number of
Take
and find the corresponding value of
Thus,
Again, select an additional number of
Take
and find the corresponding value of
Thus,
List the values of
1.01 | 3.0301 |
1.001 | 3.003001 |
1.0001 | 3.00030001 |
From the above table, it is clear that, as
Combine both the tables as follows:
0.99 | 2.9701 | 3.0301 | 0.99 |
0.999 | 2.997001 | 3.003001 | 0.999 |
0.9999 | 2.99970001 | 3.00030001 | 0.9999 |
The tables show the values of
Thus as
get closer to 3.
Therefore,
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Chapter 11 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Precalculus (6th Edition)
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