Concept explainers
a.
To find: The reason for that L’Hospital’s rule does not help to find to find the limit.
a.
Answer to Problem 53E
The answer is shown below.
Explanation of Solution
Given:
The given information is
Calculation:
Here, if we apply l’Hospital’s Rule then the formula will remain in indeterminate form while the numerator and denominator get more complicated.
b.
To find: The limit using graph.
b.
Answer to Problem 53E
The graph is shown below.
Explanation of Solution
Given:
The given information is
Calculation:
The graph of the limit is,
Therefore, it can be seen from the graph that the limit is
c.
To find: The limit analytically.
c.
Answer to Problem 53E
The limit is
Explanation of Solution
Given:
The given information is
Calculation:
Here,
Now, multiply by
On further simplifying,
Therefore, the limit is
Chapter 9 Solutions
Calculus: Graphical, Numerical, Algebraic
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