/sci/ - Science & Math

Anonymous Sat Nov 19 04:44:45 2022 No.14997898 [View]
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>>14991217
Just starting to study analysis, proving that 1 is the least upper bound of the rational numbers such that 1-1/n where n is a natural number.
Assume that 1 is not the least upper bound. Then there is some c such that 1<=(1-1/n)<1+c.
Subtract 1 from all sides:
0<=(-1/n)<c which cannot be as -1/n is negative and can't be greater than zero. Is this right?

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/sci/ - Science & Math

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