1. The problem statement, all variables and given/known data Going over examples of continuity and asymptotes in class, we came across this function: f(x) = 6sin(x) / (√X) I know that the numerator is bounded between -1 and 1, and that the denominator increases to infinity. But, my question is...what would be the horizontal asymptote(s) if the equation had been: f(x) = tan(x) / (√X) 3. The attempt at a solution I tried finding the limit both graphically and numerically, and failed to come to any solid conclusion. Looking at the data table even at intervals in the hundreds of thousandths didn't help. When I tried analytically I became lost. I know that if the numerator increases faster than the numerator then the horizontal asymptote dne. I also am aware that if the denominator increases faster than the numerator, then the asymptote is 0. But since a tangent function isn't bounded by any limits, like a sinusoid function, I'm not sure how to figure this out.