The supremum and infimum of the set S = {(1/2n) : n is an integer, but not including 0} are correctly identified as inf{S} = 0 and sup{S} = ∞. The values generated by substituting n = 1, 2, ... yield positive results, confirming that the infimum approaches 0 but does not include negative infinity. Additionally, the supremum is infinite as the values can become arbitrarily large, thus confirming that any finite upper bound, such as 10, is valid.
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