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Date: 30-9-2019
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Date: 25-8-2018
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Date: 21-9-2018
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A proof of a formula on limits based on the epsilon-delta definition. An example is the following proof that every linear function (
) is continuous at every point
. The claim to be shown is that for every
there is a
such that whenever
, then
. Now, since
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(1) |
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(2) |
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(3) |
it is clear that
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(4) |
Hence, for all ,
is the number fulfilling the claim.
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