(a)
Maclaurin series for
(a)
Answer to Problem 36E
Maclaurin series:
Explanation of Solution
Given information:
We have
At
Write down first four derivatives and evaluate at
First derivative:
Second derivative:
Third derivative:
Fourth derivative:
Formula for infinite series:
Plugin the above values:
Then
Simplify:
Since series starts at
:
Therefore,
(b)
Maclaurian series for
(b)
Answer to Problem 36E
Maclaurian series:
Explanation of Solution
Given information:
From Part (a) result,
We have
Similarly,
According to laws of natural logs,
Write down first four terms from each series.
Also,
Then
Since series starts at
:
Therefore,
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
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