Concept explainers
(a).
To Find: The value of a one-sided limit, both graphically and using L'Hôpital's Rule.
(a).
Answer to Problem 11E
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, from both the sides, the value of the expression approaches to
Therefore, the value of the limit is
(ii). Apply L'Hôpital's Rule to write
The limit determined using both the methods is indeed the same.
(b).
To Find: The value of a one-sided limit, both graphically and using L'Hôpital's Rule.
(b).
Answer to Problem 11E
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, from both the sides, the value of the expression approaches to
Therefore, the value of the limit is
(ii). Apply L'Hôpital's Rule to write
The limit determined using both the methods is indeed the same.
Chapter 9 Solutions
Calculus: Graphical, Numerical, Algebraic
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