(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}
.