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Dank2
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Homework Statement
Proof that the limit of the function below doesn't exists.
limx-->1 1/(x-1)
Homework Equations
The Attempt at a Solution
Lets assume that limit L exists.
So if (1) 0< |x-1| < δ then (2) |1/(x-1) - L| < ε
at the book they gave an example by giving a value to ε.
put ε = 1. then showing a contradiction by giving two δ values to x.
but now I am thinking about what values can i put that satisfy (1) that for them |1/(x-1) - L| < 1 doesn't hold.
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