MATH220 April 2005
• Q1 • Q2 • Q3 (a) • Q3 (b) • Q3 (c) • Q4 • Q5 • Q6 • Q7 • Q8 • Q9 • Q10 • Q11 •
Determine whether the series
converges or diverges; prove your answer.
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Using the ratio test seems appropriate here. If we denote the general term of the series by
Then the ratio test asks us to look at
(Note: we removed the absolute value since the terms are clearly all positive). And so
Since this is a number less than one, the ratio test guarantees that the series converges absolutely.
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