Limmer was a first baseman for 13 years (1946-58), two in the Major Leagues (1951; 1954) and 11 in the minors (1946-50; 1952-53; 1955-58). He won two minor league home run titles, fell one shy in a third year ,and was in the top 5 7 times. He also twice hit the most home runs in the Caribbean Series.
In 1946, in 40 games for the Lexington A's of the North Carolina State League he hit .313.
In 1947 he hit .326 for Lexington, with 24 home runs (3rd in the league) and 95 RBIs (5th in the league) in 405 at bats.
With the Lincoln A's of the Western League in 1948, he hit 28 home runs and had 93 RBIs in 385 at bats. He broke his neck in late August, while sliding into third base. He lost his eyesight temporarily due to the injury, and did not return to complete the season. He still managed to finish sixth in the league in RBIs, and second in home runs.
In 1949, he hit .315 (4th in the league) with a league-leading 29 home runs, and drove in 105 RBIs (3rd) as he scored 100 runs for Lincoln.
He followed that up in 1950, leading the league with both 29 home runs and 111 RBIs for the St. Paul Saints of the American Association, earning "Rookie of the Year" honors. Curiously, he hit at least two home runs in every park in the AA - except at home.
In an interesting side note, Limmer was involved in the only all-Jewish confrontation in Major League history. On May 2, 1951, Limmer was batting in a game against the Detroit Tigers. Pitching for the Tigers was Saul Rogovin, and catching for the Tigers was Joe Ginsberg.
In 1952 he played for the A's AAA club in Ottawa, hitting 23 home runs (4th in the league).
His best offensive year in the major leagues was in 1954, when he had 73 hits and 14 home runs. He earned notice with fans for his prodigious performance in batting practice, and got the nickname "Babe Ruth of Batting Practice" from Philadelphia fans.
His eldest son, Craig, was voted the Gatorade/NYSCA Volunteer Baseball Coach of the Year, attributing all he knows of the game of baseball to his Father, Lou.
He died in Boca Raton, Florida.