I read the great sticky on proving limits with epsilon and delta, but have a question on how to solve the problem below. I learned in class how to solve for epsilon with a function given, not just the graph :/. When i do have the function i understand i algebriaclly manipulate the equation (ie |(3x(x+1))/(x+1)| < epsilon to fit the equation of delta, ie |x-1| < delta.

After factoring and such i would conclude delta is |x-1|<epsilon/3, then i can just plug in any epsilon to get my delta. Heres the problem:

Use the given graph offto find a numberδthat fulfills the following condition.

im new to this, any help would be greatly appreciated, thank you.