Concept explainers
To Find: The value of a limit, both graphically and using L'Hôpital's Rule, after identifying the indeterminate form.
Answer to Problem 13E
The value of the limit is
Explanation of Solution
Given Information: The limit to be calculated is
Method:
Graphically: : Plot the graph of the expression in
Calculation:
(i)The graph of the expression is
In the above graph, the value of the expression approaches to
Therefore, the value of the limit is
(ii). As
Therefore, the limit is of the indeterminate form
And as
Therefore, the limit is of the indeterminate form
So, apply L'Hôpital's Rule to write
The limit determined using both the methods is indeed the same.
Chapter 9 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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