Seconds after Bournemouth had a chance to snatch victory the ball went back down the other end and Sterling's deflected shot looped past helpless Bournemouth keeper Asmir Begovic.
Liverpool players hail Juergen Klopp impact after defeating City.
IMAGES from the Champions League matches played on Wednesday.
Manchester City's memorable Champions League win over holders Bayern Munich still failed to add up for manager Manuel Pellegrini after he revealed his poor grasp of simple mathematics.
Lionel Messi says he is retiring from international soccer after Argentina lost to Chile in Copa America final.
Chile upset favourites Argentina with a penalty shootout victory in the Copa America final at MetLife Stadium on Sunday to retain their title in the world's oldest continental soccer competition.
Manchester City were never out of the title race and the Premier League champions did not need to change their style despite a frustrating to start the season, manager Manuel Pellegrini has said.
Whatever happens in the title battle between Manchester City and Liverpool, which will go down to the final day of the season
IMAGES from the English Premier League matches played on Saturday.
Manchester City must rebuild for title challenge: Guardiola
With the 3-0 loss, Chelsea and the Gaffer have now matched the club's worst records -- Mourinho suffered his joint-heaviest defeat as a Premier League manager, while, for the first time in 17 years, the Blues have failed to record a win in either of their opening league games
Manchester City gave renewed hope to the chasing pack in the battle for a Champions League spot as they were held to a battling 1-1 draw at relegation strugglers Newcastle United on Tuesday.
Manchester City reached the semi-finals of the Champions League for the first time after a superb curling shot from Kevin de Bruyne gave them a 1-0 second-leg win over Paris St Germain that sealed a 3-2 aggregate victory on Tuesday.
Pep Guardiola claimed his maiden English silverware as his side thrashed Arsenal 3-0 in the League Cup final with Sergio Aguero, Vincent Kompany and David Silva all on target in a disappointingly one-sided showpiece on Sunday.
Barcelona will put Manchester City to the sword if they commit the same kind of errors as they did in their Champions League encounter last month, coach Luis Enrique said.
Manchester United held on for a goalless draw in a feisty derby with Manchester City after midfielder Marouane Fellaini was sent off for a headbutt in the Premier League clash at the Etihad Stadium on Thursday.
Aguero will not start against Man United: Guardiola.
Liverpool continued their perfect start to the season to stay top of the Premier League after a goal in each half gave them a 2-1 victory over Tottenham Hotspur at Wembley on Saturday.
Lionel Messi scored twice as Argentina beat Nigeria 3-2 in another entertaining World Cup match on Wednesday.
The perfectionist in Pep Guardiola forbids him to get remotely carried away by Manchester City's 100 per cent record this season even though they made it 10 wins out of 10 under their new Spanish manager on Saturday.
Manchester City reached the League Cup final, shattering second-tier Bristol City's hopes of a remarkable upset, as the Premier League leaders survived a late fightback to win 3-2 on Tuesday and clinch the tie 5-3 on aggregate.
Images from Europa and Champions League matches played on Wednesday.
Leicester City's Premier League title defence got off to a terrible start as they were beaten 2-1 at promoted Hull City, who shrugged off an injury crisis to shock the champions on the opening day of the new season on Saturday
Attack is the best form of defence for Manchester City boss Pep Guardiola.
Manchester City came out on top in an epic Champions League battle against Monaco as late goals by John Stones and Leroy Sane secured a 5-3 victory in a last 16 first-leg thriller on Tuesday that had goals galore and a missed penalty.
A round-up Wednesday's football news on and off the field.
Manchester City's eight point advantage after 11 games is leading to talk of the Premier League title race being over in November, but as Manchester United manager Jose Mourinho noted - English football has a habit of throwing up surprises.
Angel Di Maria unleashed a stunning long-range strike in the 41st minute to draw Argentina level at 1-1 against France at halftime of their round of 16 World Cup clash on Saturday.
Irresistible Chelsea go into the Christmas round of fixtures knowing they can end the year by re-writing the record books.
The omens are good for a Chelsea side heading into Christmas top of the Premier League tree but manager Jose Mourinho does not want to give title rivals Manchester City any reason to cheer over the festive season. Check out the big games on Boxing Day.
Chelsea's early season slump turned into a full-blown crisis on Saturday when they were beaten 3-1 by Southampton while Manchester City went top of the Premier League with Sergio Aguero scoring five in a 6-1 win over Newcastle United.
Manchester City qualified for the knockout stages of the UEFA Champions League with goals from Samir Nasri and Pablo Zabaleta sinking Roma 2-0 to eliminate the Italians.
A 3-0 reality check at the hands of Manchester City was always a moment waiting to happen for Southampton. Just how they bounce back from Sunday's defeat may now determine their fortunes this season.
Manchester City embark on a fifth Champions League campaign buoyant after a perfect start to their domestic season but still searching for the secret formula against Europe's top brass.
News of all that's transpired on and off the football field
Photos from the EPL match played between Manchester City and West Bromwich Albion on Monday
City's Aguero doubtful starter for Watford trip
Frank Lampard's loan spell at Manchester City is due to end in January but the Premier League champions might want to delay his departure across the Atlantic to enhance their chances of fighting his old club for the title.
A round-up of Saturday's matches in the English Premier League.
Only four teams are left in the Copa America and whichever lifts the trophy next weekend, one thing is guaranteed -- the winning coach will be an Argentine.
