Recent content by magnumartus
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Complete ordered fields are Archimedean
I got it, thanks a lot. Can someone explain why |n+1-y| < epsilon when |n-y| < epsilon ?- magnumartus
- Post #10
- Forum: Calculus and Beyond Homework Help
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Complete ordered fields are Archimedean
hi there, in this proof i didnt understand why |n+1-y| < epsilon. I think that If |n-y|< epsilon then |n+1-y|<epsilon+1. Where am I wrong? Also, I didnt understand why the sequence is bounded above by x, isn't it unbounded? How can we bound 1,2,3 ... ?- magnumartus
- Post #8
- Forum: Calculus and Beyond Homework Help
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Epsilon Argument: Does "a<r+eps" Imply "a<=r"?
hey, it helped a lot. thank you all- magnumartus
- Post #4
- Forum: Calculus and Beyond Homework Help
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M
Epsilon Argument: Does "a<r+eps" Imply "a<=r"?
Hi, Want to show: a<=r However I ended up with such an argument: For each eps>0, a<r+eps. Does this statement imply a<=r?- magnumartus
- Thread
- Argument Epsilon
- Replies: 3
- Forum: Calculus and Beyond Homework Help