MHB Limit superior and limit inferior

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Find the greatest lower bound, least upper bound, greatest limit point, least limit point of the following
{3/2,5/2,5/3,7/3,7/4,9/4,9/5,11/5,11/6,...}

I have found the respective answers as 3/2, 5/2, 2,2 . Am I right?
 
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suvadip said:
Find the greatest lower bound, least upper bound, greatest limit point, least limit point of the following
{3/2,5/2,5/3,7/3,7/4,9/4,9/5,11/5,11/6,...}

I have found the respective answers as 3/2, 5/2, 2,2 . Am I right?
Yes. (Happy)
 
A sphere as topological manifold can be defined by gluing together the boundary of two disk. Basically one starts assigning each disk the subspace topology from ##\mathbb R^2## and then taking the quotient topology obtained by gluing their boundaries. Starting from the above definition of 2-sphere as topological manifold, shows that it is homeomorphic to the "embedded" sphere understood as subset of ##\mathbb R^3## in the subspace topology.
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