Give an example of a sequence {xn} that diverges but {abs(xn)} converges.

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- Oct 25th 2009, 09:33 PMtigergirlConvergence 61.14
Give an example of a sequence {xn} that diverges but {abs(xn)} converges.

- Oct 26th 2009, 04:49 AMKrizalid
many of them, for example pick $\displaystyle x_n=\frac{(-1)^nn}{2n+1}.$