Solution Found!
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Chapter 2, Problem 69E(choose chapter or problem)
PROBLEM 69E
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Let
a. Make a table of the values of G at the points x = -5.9, -5.99, -5.999, and so on. Then estimate . What estimate do you arrive at if you evaluate G at x = -6.1, -6.01, -6.001, ….instead?
b. Support your conclusions in part (a) by graphing G and using Zoom and Trace to estimate y-values on the graph as x → –6
c. Find algebraically.
Questions & Answers
QUESTION:
PROBLEM 69E
You will find a graphing calculator useful
Let
a. Make a table of the values of G at the points x = -5.9, -5.99, -5.999, and so on. Then estimate . What estimate do you arrive at if you evaluate G at x = -6.1, -6.01, -6.001, ….instead?
b. Support your conclusions in part (a) by graphing G and using Zoom and Trace to estimate y-values on the graph as x → –6
c. Find algebraically.
ANSWER:
Solution
Step 1 of 4
In this problem, we have to make the table of and estimate
and also draw the graph of as
Given that
(a)
The table of the function is
Value of x |
|
-5.9 |
-0.126582 |
-5.99 |
-0.1251564 |
-5.999 |
-0.1250156 |
-5.9999 |
-0.1250015 |
-5.99999 |
-0.1250001 |
-5.999999 |
-0.1250000 |
As approaches -6 from left side as
approaches -0.125