Determine if the subset of R

$$ M := \{\frac{n-1}{n} : n \in \mathbb{N}, n\geq 1 \} \cup ]1,2] $$

M closed, compact or bouned is (proof) ?

Question

Determine  if the subset of R 

$$ M := \{\frac{n-1}{n} : n \in \mathbb{N}, n\geq 1 \} \cup ]1,2] $$

M closed, compact or bouned is (proof) ?

anonymous · Answer

it 1-1/n so always less than 1

anonymous · Answer

thanks for information

anonymous · Answer

but i need more help ;) if possible whole solution

anonymous · Answer

what do you need to know it's range is [0,1)

anonymous · Answer

zarkon can i block a moderator

anonymous · Answer

hmm, this is actually question from my last exam which i could not pass, i need a solution, which it would be accepted in exam as true..

anonymous · Answer

and then i gonna try to understand it...

anonymous · Answer

i have given you the range, you can judge by yourself the nature of it

anonymous · Answer

ok thanks for your help firstly