(c) Consider the set S = {(n+2)/(3n-1): n € N}. If exists, find: (i) inf S; (ii) sup S; (iii) min S; (iv) max S. [1+1+1+
Posted: Thu Jul 07, 2022 8:27 pm
(c) Consider the set S = {(n+2)/(3n-1): n € N}. If exists, find: (i) inf S; (ii) sup S; (iii) min S; (iv) max S. [1+1+1+1=4 marks] (d) Let S be a nonempty subset of R that is bounded above. Prove that sup S=-inf{-s: s € S}. [4 marks]