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| Teaching Since: | May 2017 |
| Last Sign in: | 408 Weeks Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
To illustrate the process of writing a proof with quantifiers, consider the following:
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We are asked to prove that something is true for each positive number ε. Thus we begin by letting ε be an arbitrary positive number. We need to use this ε to find a positive δ with the property that
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Thus we see that choosing δ to be ε/2 will meet the required condition. In writing down the proof in a formal manner we would simply set δ equal to ε/2 and then show that this particular δ will work.
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