Those two old foes should make far tougher demands of City; Guardiola believes they can not afford to drop another point, and City may be thankful they have been able to keep so much in reserve, so often.
City's win over Palace saw them move to the top of the Premier League table, but Liverpool returned to the summit with victory over Chelsea.
"With Pep Guardiola, we are witnessing an incredible title race, the two teams play the right way, the managers perform the right way".
Sterling took his goal tally for the season to 21 and Gabriel Jesus chipped in with the third as dominant City passed the latest test of their title credentials.
Palace introduced Max Meyer for Andros Townsend - and they found a route back into the game when James McArthur was fouled and Milivojevic thumped the free kick home.
If you seek drama and tension, or perhaps simply to be moved by football, City's Premier League games are probably not for you. "We know what we are playing for and we are going to prepare well", added Guardiola.
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When asked for a comment, both Boeing and Federal Aviation Administration denied providing any information. American Airlines has announced that it will cancel all Boeing 737 MAX flights through to June 5th.
If they showed their pragmatic side there then they showed their slick best soon afterwards.
Guaita was in the thick of the action again when the ball fell to De Bruyne and he fired goalwards, and then Benjamin Mendy's strike was straight at the Palace keeper.
After City lost in midweek Ilkay Gundogan questioned his own side's mentality, suggesting that the reaction to Sergio Aguero's missed penalty was not the kind you would expect of a big team. City did not concede a goal-scoring chance in either, while making sure they did enough at the other end.
After the Spurs defeat Vincent Kompany insisted City would be back to their attacking best for the rest of the season, and that was in evidence on Sunday. They showed no intention of taking any initiative, and City exerted a level of domination that suffocated the game as a spectacle.
City just keep going about their business, and they have ticked off another potentially tricky fixture standing between them and the title.