Career
In the Norwegian local elections, 1987 he was elected to Oslo city council, but he took leave from his position in 1989. He became city commissioner of finance in Oslo when he took over after Sverre Frich, Junior. in April 1991, and sat throughout the year. Limi was the secretary-general in the Youth of the Progress Party from 1984 to 1986.
He was then an office manager in the Progress Party from 1986 to 1988 and then secretary-general until May 1994.
He then withdrew, shortly after the 1994 Progress Party national convention. Limi was hired as property manager in the Olav Thon Group.
He was later a development director in Steen & Strøm and from 2005 director in International Cooperation Administration Norway. In 2013, he was elected to the Storting from the Akershus constituency
The couple has three children.