a)
Sketch the graph and identify the asymptote function of the graph and determine its relationship to the sum.
a)
Answer to Problem 119E
The sum is equal to the asymptote of the given function
Explanation of Solution
Given:
The graph of the function
From the figure, it is seen that the horizontal asymptote of the function is,
The infinite sum of the sequence
The common ratio of this geometric series is,
Therefore, the sum is,
The sum is equal to the asymptote of the given function.
b)
Sketch the graph and identify the asymptote function of the graph and determine its relationship to the sum.
b)
Answer to Problem 119E
The sum of the series is
Explanation of Solution
Given:
Consider the function,
Enter the equation in T1-83
Click on WINDOW button and set the minimum and maximum values of labels (axis)
Click on the GRAPH button then below screen will be obtained,
Hence the Horizontal asymptote is
The series is in the form of sum of geometric finite series that is,
Implies that
Then the
Hence the sum of the series is
Chapter 8 Solutions
Precalculus with Limits: A Graphing Approach
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