This feels like a stupid question, but I just want...

This feels like a stupid question, but I just want to makesure.
Let An=[0,1/n).
Does make any sense?
I know some people don't think 0 is a natural number, but ifit is in this case, would A0 exist? If so, doesA0 = [0]? If A0 does not exist, does thatmean the union of all sets An doesn't exist? I'mthinking the union of all sets An = [0,1), regardless ofA0. Could anyone give me some input and an explanation?Thanks.

Answers ( 1 )

  1. sonia mitchelle
    sonia mitchelle
    An =[0,1/n)
    Then A1=[0,1)
            A2=[0,1/2) =[0,0.5)
            A3=[0,1/3) =[0,0.3)
            A4=[0,1/4) =[0,0.25)
                         ...........................and so on
    Then        A1ÈA2ÈA3È A4È........... = [0,1)
    I feel this is the solution since each interval[0,0.5),[0,0.3),[0,0.25)......is contained in the interval [0,1) sotheir union is [0,1).I hope this may help.

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