1. Flight bus - every 10 minutes. By far the cheapest way and efficient.
2. Hagersten is on the "red" underground line. It is about 20 minutes (by underground) from the centre and about 10 minutes from Soder - the south side and most interesting part of the city. I have no idea how far it is from the hotel to the underground station.
Entertainment in Hagersten itself is pretty limited - I would imagine it consists of a few alcoholics having a fight in a bad pizzeria.
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Perhaps God is not dead; perhaps God is himself mad.