1. The problem statement, all variables and given/known data Proof that the limit of the function below doesn't exists. limx-->1 1/(x-1) 2. Relevant equations 3. 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 im thinking about what values can i put that satisfy (1) that for them |1/(x-1) - L| < 1 doesn't hold.