Now I will be honest... I will admit that I do believe that Saitama has infinite strength, but he does not have infinite power. The analogy between Goku and Saitama does not work, because as Goku raises his limits, Saitama has broken his limiter which means that it does not exist anymore. If his limiter is broken then how does he still have limits? What everyone here keeps explaining or is eluding to is a power increase which would make no sense. What I keep reading from everyone here is that he has raised the bar for himself (believe it or not that is how you have been wording it) which is not how Dr. Genus explained the concept. When thinking of Goku, think of bar that casually raises but is a controlled level (Finite). When thinking of Saitama, think of a line that broke through the bar and has no end to it (Infinite).

In OPM people can transform or manifest themselves from sheer desires or a fixation upon one thing or goal. We see that Crablante became a monster (transformed) from eating too much crab. We've seen Pull Cord transform into a shadow boxing monster from shadow boxing... a light pull cord. We've seen Garou almost break his limiter from his desire to become a monster. The webcomic tells the audience and solidifies the limiter theory from Dr. Genus by showing us in text that Garou is breaking his limiter. He almost succeeded if it weren't for Saitama. Garou's limiter would not have worked the same as Saitama's since his was just based around becoming a monster (His limiter on his humanity), so Garou wouldn't get infinite strength. Now... using the logic that the series has outright shown us since the beginning, we see how even when Saitama was a kid he dreamed of being a hero who could blow away his enemies with "one punch". Saitama carried that dream over into his adult life. He trained with the same exact desire in mind, hence he became a hero who could blow away his enemies with "one punch". Saitama can not solo all of fiction, but he sure does have quite a hax ability. By the way Saitama is a perfect case of be careful for what you wish for. Feel free to disagree with my points.