The last time Sweden went without a medal was in Val d'Isere in 2009.
Jakobsen, who has a high capacity, has completed every other run this season.
The build-up to this championship has been disrupted by a bad flu.
“Krille has to hold the skis together, especially in combinations like hairpins and verticals.
It's so easy for the inner ski to cut in and to straddle otherwise," writes SVT Sports expert Pernilla Wiberg in a comment on the live chat on svtsport.se.
Back after the appendectomy
Slalom Cup leader Lucas Braathen came to the start and after a blisteringly fast start, leading by 0.44, he crossed the finish line just behind leader Manuel Feller and waved to the crowd.
The Norwegian had surgery on his appendix at the beginning of February and was on skis for the first time as recently as Monday and went to Courchevel on Wednesday, then not sure he would drive.
Braathen then had intensive radio contact with Sebastian Foss Solevåg, who finished fourth and is in the battle for gold.
To the results.