Bradley Cooper starrer Limitless opened to a better-than-expected $19 million at the North American box office in a boost for Relativity Media’s new foray into domestic distribution. But business remained soft overall, with revenue down 10% from a year ago. The other new movies -- Lionsgate’s Matthew McConaughey legal thriller The Lincoln Lawyer and Universal’s sci-fi comedy Paul -- grossed $13.4 million and $13.2 million, respectively. The race between the two won’t be officially decided until Monday, when final numbers are calculated. Still, neither brought in enough to best holdovers Rango and Battle: Los Angeles. REVIEW: Read THR's review of Limitless Paramount’s sleeper hit Rango grossed an estimated $15.3 million in its third weekend to come in No. 2, according to Rentrak. The toon fell a respectable 32%, finishing the weekend with a cume of $92.6 million. Sony’s Battle: L.A . fell 58% in its second weekend to an estimated $14.6 million for a cume of $60.6 mill...