A plot of e^x/(e^x-1) and 1/x^2 is shown below for comparison.
So, everybody is wrong. At zoomed version of this plot together with the curve -e^x/(-e^x-1) are shown below.
Which clearly shows the asymmtote at \(y\) = 1. And how desperately wrong can we get? This new baseline is important. It points to the dark side; of dark matter, dark energy and dark what ever fuck scientists cook up when they get bored.