Concept explainers
To Find: The value of the limit to the nearest hundredth and then write the answer in percent.
Answer to Problem 40E
The value of the limit to the nearest hundredth is
Explanation of Solution
Given:
The population doubles every 10 hours.
The initial hourly growth rate is
The time in hours is
Calculation:
Consider the value of the hourly growth for various value of
Table 1
0.1 | 0.695555 |
0.01 | 0.69338746 |
0.001 | 0.06931712 |
0.0001 | 0.0693149 |
0.00001 | 0.069315 |
From the above table it is clear that as the value of
Thus, the value of the limit to the nearest hundredth is
Chapter 15 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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