there’s a funny moment on my not so early childhood where i got stuck on a rock-climbing wall &all the people from below are shouting at me telling me to swing my self back onto the wall surface. having my weak &frail physique its so easy for them to tell me what to do when there is no point of contact force to begin with. i thought to myself, “what part of an inverse tangent function approaching an asymptote don’t u get?” i thought it’d be helpful to take a moment &examine that joke. a linear asymptote is quintessentially a straight line to which a graphed curve moves closer and closer but does not reach. in other words, given a function y=fn(x) wit asymptote A, A represents a value that, no matter how big (or, given the function, small) you make x, y will never make it to A. the particular example i thought quotes the inverse Tangent function, or Arctangent, which has two asymptotes. if u graph it, it sort of looks like a horizontal S (below photo)