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anonymous
 5 years ago
Prove that there is a natural number M such that for every natural number n, 1/n <m. I have an idea but am not sure its right?
anonymous
 5 years ago
Prove that there is a natural number M such that for every natural number n, 1/n <m. I have an idea but am not sure its right?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ill try my best: because a fraction is always smaller than a whole number, 1/n is always smaller than M.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right. So what I know is that \[n \ge 1\]. So couldn't we choose M= 1/M?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0M=1/n only if n and M equal 1.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how do you know what to let M be?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0um... arbitrarily... assign a random number to M and n...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0because if M = 5, for example, then 1/n will always be smaller, n being a random integer.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right but that is because n was a whole number but when its 1/n, that makes it smaller that M. I am just confused on how you would know what to let M be? I have an exam coming up and I am trying to practice, but these proofs that deal with inequalities are killing me

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0...there is a natural number M... so there IS a natural number M.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right...but Why would it let it be 1/n?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.01/n, so any 1/n would be smaller than any M... rather confused here...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i think its just the problem... 1/n just doesn't have any special meaning here...
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