They solve the world's problems one by one each afternoon around the big red table at the Southside Bar ("Subs -- Suds -- Snooker") in this farm town. But Limon's informal debating society has yet to take on the problem that has transfixed official Washington.

"Basically, nobody here is talking much about this Bitburg business," said Joan Doll, Southside's barmaid and de facto moderator of the town's daily talkfest.

"Yeah, you'd think, with it all on the TV and everything, our guys would be fighting that one out," Doll said. "God knows they take on everything else. But I haven't heard the first word about it."

"Sounds like a lot of hullabaloo, but darned if I know why," agreed Randy Randolph, a young farmer in a light blue "Dixon Trucking" baseball cap. "You know, if the president of Germany came here, I guess he'd go to one of our cemeteries. If Reagan wants to visit some cemetery, okay, let him go. What do I care?"

That sentiment seems to reflect the consensus on the Bitburg question among residents of this high-plains community ("Hub City of Eastern Colorado") with a big silver Ralston Purina grain elevator at one end of town and a big white Farmers' Co-op elevator at the other.

The people of Limon seem thoroughly familiar with the issue -- Bitburg, after all, has been a Page 1 story in the Denver and Colorado Springs newspapers for more than a week. But the burning Washington controversy has failed to set fire to emotions in Limon.

It's not that this heavily Republican town is leaping to the president's defense. Indeed, the most common view about the German trip is that expressed by John Ball, a local wheat farmer: "We'd be a lot better off if he made a trip to some of our farms."

"If you're going to visit cemeteries, why not put a wreath on one of our Vietnam guys?" said John Doll, leaning on the bar. Like many people here, Doll, who owns the bar with his wife, Joan, said he was unaware of the allied leaders' economic summit meeting in Bonn this week and thought Reagan's trip to Europe was strictly to commemorate the end of World War II there.

But Doll is unimpressed by the furor about the trip. "It's a lot of talk for the sake of talk," he said. "If Reagan goes, they all get mad at him. If he didn't go, then they're all going to be mad at him for not."

In a way, it may be fortunate for the president that the Bitburg trip attracted minimal interest here. For when people take time to give the matter some thought, they generally seem to conclude that an American president has no right honoring Nazi soldiers, living or dead.

When a visitor stopped in today to see Robert Hawthorne, one of five practicing lawyers in this placid, unlitigious town, Hawthorne held a plebiscite in his waiting room on the question. All six persons present initially agreed with Hawthorne that the Bitburg flap is "a lot of Washington to-do about nothing."

But a few minutes later, one of those six, Gene Bandy, a chipper young radio station manager with a salt-and-pepper goatee, started expressing second thoughts.

"Yeah, now that I think about it, yeah, I do have some misgivings," he said. "You know, just talking about it like this, you start to realize those were Nazis, those were some bad people. Yeah, you can see why there's anger about this."

The people most apt to be openly critical of the Reagan trip here are older residents with memories of the war against Nazi Germany.

"He's laying this big rosy wreath on some guy who was shooting at my brother," said Betty Silver, who was 8 when the war began. "We got a lot of cemeteries with American soldiers in them if he wants to do something about World War II."

Reagan has defenders here, par- ticularly among young people. "Sounds like a good idea to me," said Joe Rose, 23. "We all need to be forgiven sometime."

By and large, the feeling is that the "Bitburg business" is just another diversion from more serious problems. "You ought to hear the boys at the round table here when they get going on grain prices," said Joan Doll. "If Reagan heard some of that, he'd probably decide to stay over there in Germany."