City threatened more, with Gabriel Jesus forcing a save from Begovic with a good header and Fernandinho dragging an effort wide.
"Doctors, physios, instinct, what I see, many reasons", Guardiola said about those who did not play. "But in the second half the action from Raheem and Fabian Delph helped us to take our rhythm, and the second half was much better", he added.
Guardiola said at a recent event he feels he is a better manager than ever, but he rejected the suggestion this means his City team are stronger than his previous sides at Barcelona and Bayern Munich. I have to listen to what the club thinks about it because if the results are not good maybe I'll not be here or I don't know what happens in the future in our world.
Among the goals in that streak was a victor seven minutes into injury time at Bournemouth in the third game of the last season.
But the leaders restored order in the 57th minute as Sterling continued his mastery of Eddie Howe's team.
Russian men barred from Ukraine
Earlier this year, Russian Federation opened a bridge that connects mainland Russian Federation with annexed Crimea. Ukrainian authorities have sought to portray Russian Orthodox clerics in Ukraine as supporting separatists.
Bournemouth have not won a game since their League Cup victory over Norwich on 30 October 2018.
Heading into this weekend, Palace had managed two points at home this season, scoring only two home goals, which were both penalties.
"The last 20 minutes [of the first half] we were flat, we had no rhythm that we need but that is normal, it is so tough", he told a news conference.
They are now two points ahead of Liverpool with both sides yet to lose a game in the Premier League this season.
But fourth bottom Huddersfield were reduced to 10 men when Steve Mounie was sent off for a 32nd minute foul on Yves Bissouma.
Strikes in each half from James McArthur and Andros Townsend were Palace's first goals from open play at home all season.
Leicester climbed above visitors Watford into seventh after a 2-0 win at the King Power Stadium.