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) ?

Answer 1

it 1-1/n so always less than 1

Answer 2

thanks for information

Answer 3

but i need more help ;) if possible whole solution

Answer 4

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

Answer 5

zarkon can i block a moderator

Answer 6

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..

Answer 7

and then i gonna try to understand it...

Answer 8

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

Answer 9

ok thanks for your help firstly