<p>Can someone help me with these Epsilon-Delta proofs? </p>
<p>1) I'm given the function 1/(x-1) with x -> 2. So that means that my limit is 1. I just can't find my epsilon value because of the fraction. </p>
<p>I have to turn absolute value of [1/(x-1) - 1] < epsilon into: </p>
<p>the absolute value of [x - 2] < epsilon </p>
<p>That's so I can find epsilon. It's supposed to be simple algebraic manipulation, but I can't figure it out. </p>
<p>I know it seems kinda complex, I tried to word it the best I could. If anyone could help me, it'd be greatly appreciated! I've spent way too long on this problem lol.</p>