Alright, so I have been doing some stuff and I need to find a function in order to test my equations. I was using 1/x; however, this became difficult as it is infinite at 0. I would sinx/x however that is not strictly positive.
What I need is an always positive function with an asymptote at y=0, no vertical asymptotes and remains > 1 for a large number of units (5 to 10). Preferably 10. What I am attempting to study is an area cap phenomenon I have noticed with certain integrals involving the floor function and so I need a large function with which to experiment with.