Let S = \(\left\{(-1)^n (\frac14-\frac4n):n\in \mathbb N\right\}\) then

1
sup S = 1/4, inf S = -1/4
2
sup S = 15/4, inf S = -15/4
3
sup S = 1/4, inf S = -15/4
4
sup S = 15/4, inf S = -7/4

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