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.