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Mmathwonk replied to the thread High School Why does continuity still feel weird?.In fact, when stated precisely, the sequential version is even more complicated, i.e. it is being abbreviated above by the unexplained...
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Mmathwonk replied to the thread High School Why does continuity still feel weird?.A little symbolic logic notation is useful for easily negating basically anything. I.e. to negate, you exchange the type (universal vs...
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Mmathwonk reacted to jedishrfu's post in the thread High School Why does continuity still feel weird? with
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No but hyperreals could offer a check on your answer which I realize is a poor second to, getting the epsilon-delta proof correct in an... -
Mmathwonk reacted to PeroK's post in the thread High School Why does continuity still feel weird? with
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An alternative, which is equivalent to the usual epsilon-delta definition is: A function ##f## is continuous at a point ##a## if for...