1. The problem statement, all variables and given/known data Determine all values of the constant a such that the following function is continuous for all real numbers. f(x) = ax/tan(x), x ≥ 0 = a2 - 2, x < 0 2. Relevant equations 3. The attempt at a solution I tried so many different ways to get the first part of the function to be defined at 0 but nothing worked, I tried manipulating it with a bunch of trig identities and no matter what, that first part is always undefined at 0 so I don't know how the function can ever be continuous if that first part of the function is always going to be undefined at 0 and I can't remove it.