MATH101 April 2011
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Question 06 (a)
Evaluate the following indefinite integral as a power series, and find the radius of convergence.
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Remember the series expansion
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We have the series expansion
and so, integrating term by term we find that
It only remains to find the radius of convergence. Computing the limit in the ratio test yields
Now the ratio test tells us that the series converges whenever and thus our radius of convergence is 1.
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MER QGH flag, MER QGQ flag, MER QGS flag, MER QGT flag, MER Tag Power series