Swedish skipper Zlatan Ibrahimovic scored twice to help his team qualify their fifth successive European Championship finals at the expense of neighbours Denmark.
Leading 2-1 from the first leg, the visitors extended their advantage through Ibrahimovic’s scruffy first-time shot from Kim Kallstrom’s corner.
Ibrahimovic clipped in a 25-yard free-kick to all but clinch a finals spot.
Denmark levelled on the night through Yussuf Poulsen and Jannik Vestergaard, but fell two goals short on aggregate.
Olsen’s side dominated the opening exchanges, but were left deflated when Ibrahimovic peeled off his marker to convert Kallstrom’s well-worked corner.
Sweden looked in complete command from that point and, although the Danes restored some pride, the visitors managed to earn a measure of revenge for the 2010 World Cup play-off defeat by their Scandinavian rivals.
