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(Solved): (1) Find the infimum (greatest lower bound) and the supremum (lowest upper bound) of the following s ...



(1) Find the infimum (greatest lower bound) and the supremum (lowest upper bound) of the following sets, if exist. (a)

S={xinR:x>0}

. (b)

S={(1)/(n):ninN}

. (c)

S={1-((-1)^(n))/(n);ninN}

. (d)

S={(1)/(n)-(1)/(m):n,minN}

. (e)

S={(m)/(m+n):m,ninN}

.



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