Epsilon Delta definition of a Limit | Mathematics | Page 1

unborn garnet Jul 13, 2023, 3:52 PM

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Hey I am kinda confused on the epsilon delta defition of the limit. Could someone please help me understand excatly what it means

grand cloakBOT Jul 13, 2023, 3:52 PM

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frail fox Jul 13, 2023, 3:58 PM

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Yeah the first step would be to define what (lim x->c g(x) = L) means

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Then see if that can imply some other facts like there exists an open interval that has certain properties…

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Since it is true for every epsilon,

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(greater than zero)

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Then it is true for epsilon equal to L/2 because L is positive

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unborn garnet Jul 13, 2023, 4:10 PM

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yo thanks so much for everything your actually a god

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im just going to take 10 minutes to digest everything

unborn garnet Jul 13, 2023, 4:21 PM

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alright 1 final question would u be able to do this for a limit such as this cause im not sure how you would be able to make a proof for the limit

frail fox Jul 13, 2023, 4:21 PM

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For continuous functions, you could just use direct substitution

#Epsilon Delta definition of a Limit