MATH101 April 2008
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Question 01 (f)
Find the first three nonzero terms in the power-series representation in powers of (i.e. the Maclaurin series) for
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What is the Maclaurin series expansion of
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Recall the following Maclaurin series expansion
Now plugging in gives
and then multiplying by gives
Hence, the first three nonzero terms are
produces the first three non-zero terms of the desired integral.
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