1. The problem statement, all variables and given/known data Prove lim x--> -1 1/(sqrt((x^2)+1) using epsilon, delta definition of a limit 2. Relevant equations 3. The attempt at a solution I know that the limit =(sqrt(2))/2 And my proof is like this so far. Let epsilon >0 be given. We need to find delta>0 s.t. if 0<lx+1l<delta, then l[1/(sqrt((x^2)+1)]-(sqrt(2))/2l < epsilon. So we need to pick delta= ? I'm not sure how to arrive at the delta. I know I have to work out what's inside the absolute values, but I'm getting stuck.