That City are comfortably in first place and had to work to put away the last-place Blades shows the quality of England's top flight, according to Guardiola.
This victory extended Manchester City's winning run to 12 games in all competitions.
Pep Guardiola told Chris Wilder afterwards that he can not fathom how Sheffield United are in their perilous state and, on the evidence of the past week, the Blades do not look a side propping up the Premier League table with a meagre eight points.
Manchester City's now riding high atop the Premier League standings, but Pep Guardiola knows that every match is another opportunity for his side to slip. Manchester City is at the first place in the Premier League table with 44 points, three points ahead of second-placed Manchester United. I am a little bit concerned about the game. The players were up against a team who can produce at any time, not just against us but anyone in the division and in Europe.
"But we are creating chances and our football is better now".
"We struggle every season against them - the organization [of Wilder's] team is outstanding". We struggle because they are a very good side.
The City boss, speaking at his pre-match press conference yesterday, said he had switched tactics after a patchy start to the season.
Here, the PA news agency takes a look at what we learned from this weekend's Premier League action.
"People think if we won the last game 5-0, we will win this one 5-0". "In previous seasons, the wingers were wider and higher, so we came back to our principles".
Arsenal managed to keep Man United scoreless at Emirates Stadium, meaning Ole Gunnar Solskjaer's team has dropped five points in three days after losing 2-1 to Sheffield United on Wednesday. In the Champions League and other countries they give the striker more space but here, I don't want to complain about it or get fined, it is just my opinion about VAR. They are alive, you can feel it.
"Hopefully we react well in the bad moments which, for sure, are coming".