Halectic posted... There are a limited number of locations, but quests are infinite. So it is impossible to do every quest
If by infinite, you mean randomly generated fetch quests that serve no other purpose than "fetch this item, kill this person"....then yes.
There are a certain finite amount of named side- missions, guild missions, and the MQ. The game goes on yes, but for what purpose? A few hundred gold and pointless never ending miscellaneous quests with no reward?
Perhaps, by definition, you can't beat this game, "technically." However, I'd consider it "beat" with every namable side mission done, all the guilds, the MQ, every location discovered/cleared, max level, etc...which most people won't even be playing this game long enough to do anyway.
We trained harder than you today, and we're gonna party harder than you tonight. Mint with the crew.
Depends on what you mean by beating the game. If you just rush through the main quest, fast-travel everywhere, and ignore everything else, it can be done in 10 hours. But the main quest is less than 5% of this game's total content. Most sane people will not come close to experiencing all of the content.
Even ignoring the randomly-generated "radiant" quests, there are a ridiculous number of side-quests to complete, dungeons to clear, places to explore, and skills to train. In that sense, it is very difficult, if not impossible, to truly "beat" Skyrim.