... you realize that if the function is oscillating near a given value on the x axis, then the limit does not exist.

A conclusion cannot be drawn when we look at the data for the Oakland Raiders and the Denver Broncos.

Since this data shows an oscillating pattern, I, personally, do not want to hear commentators talking about the Broncos being consistently better than the Oakland Raiders.

Of course this study only focuses on 2007 through 2009.

Here are the facts about the performance of the Oakland Raiders when they compete against the Broncos:

 

Bleacher Report - NFL