Hi

I am trying to proove that (2x^2 + 2) / (x +3) is continous at lim x -> 1 => f(x) = 1

This is what I've thought so far

|f(x) - 1 |< Epsilon

|(2x^2 -x -1) / (x +3)| < Epsilon

|(x - 1)(x + 2) / (x + 3)| < Epsilon

Now I fail to prove that for some K Epsilon = Delta => |x -1| < Delta, thus proves Continouty.

Please help me, I been trying for several hours... Going to try another problem to cool down.

Thanks!