To prove: To show that the Maclaurin series for
Explanation of Solution
Given information:
Calculation:
To show that the Maclaurin series for
Show that
This proof can be completed using the Remainder Estimation Theorem, which states:
Where
Note that
Since the
either
Which implies that
Now,
Since,
And
Since factorials grow so much faster than exponentials.
Chapter 10 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
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Calculus and Its Applications (11th Edition)
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