Hey guys heres the problem, 1. The problem statement, all variables and given/known data lim (4x^2+9) / (3x^2 +5) = 4/3 x->infinity find k, such that x> k/sqrt(epsilon) guarantees abs((4x^2+9) / (3x^2 +5) - 4/3) < epsilon 2. Relevant equations 3. The attempt at a solution By removing the absolute sign and making the denominator common, we get 7 / (9x^2 + 15) < epsilon keep solving we get x > 1/3 sqrt(7/epsilon - 15) Here is where I got stuck. How do we find k as a constant? 15 is inside the square root and if we want to make the whole thing as a fraction we would get x > 1/3 sqrt((7-15*epsilon)/epsilon). I can't just get rid of 15 either because that would screw up the inequality and I am meant to find the MINIMUM value of k. Any help would be appreciated.