Problem : Give an example of a series that converges but does not converge absolutely.Consider the series
|1 - + - + ...|
Problem : Prove that (- 1)n e -n2 converges.The result follows from the alternating series test by noting that e -(n+1)2 ≤e -n2 and that e -n2 = 0 .
Problem : Determine whether or not
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