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Ashley P.

asked • 02/23/20

Supremum and infimum

X1 = { x | x = 0 or x = (1/n) ; n € N(N - set of natural numbers)


Find the supremum and infimum(if they exists ) of set X1

1 Expert Answer

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Ben R. answered • 02/23/20

Tutor
5 (3)

PhD in Mathematics

Ashley P.

Thanks a lot for the explanation! But can we say x=0 is a minimum of this set , as x only gets closer to 0 but not actually be 0?
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02/23/20

Ben R.

It looks like from your definition of X1 that 0 is actually in the set: {x | x = 0 or ...}
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02/23/20

Ben R.

If not, it would still be the infimum, but the set would have no minimum value
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02/23/20

Ashley P.

Oh, I almost forgot the x=0 part. Thanks again!
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02/24/20

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