What Is An Infimum?

Calculus Level 2

{ 1 , 1 2 , 1 3 , 1 4 , … } \left \{ 1 , \dfrac12, \dfrac13, \dfrac14, \ldots \right \}

The above shows an infinite set of the reciprocal of positive integers. Is it true that the there exists a minimum element in this set?

True False

Pi Han Goh by Pi Han Goh , 30, Malaysia

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1 solution

展豪 張
Apr 28, 2016

The infimum of the series is 0, which is not in the series. Minimum does not exist.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Corrrrrrrrrrrrrect!

Pi Han Goh - 5 years, 1 month ago

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