The trailer for “Mitt,” director Greg Whiteley’s documentary about former Massachusetts governor and failed 2012 Republican presidential nominee Mitt Romney, hit the Internet Wednesday, and it looks promising. The film, which premieres Jan. 24 on Netflix and will be screened at the Sundance Film Festival, seems to show a softer, more vulnerable Romney than the candidate accused by his opponents of being an out-of-touch automaton. The trailer opens with a moribund scene in Romney’s hotel suite when it’s become apparent he’s lost to President Obama. “By the way, someone have a number for the president?” Romney asks, preparing to concede. In another scene, meeting with his campaign team, Romney acknowledges his difficulty connecting with voters. “I think I’m a flawed candidate,” he says. Whiteley, whose previous credits include “Resolved,” about the state of high school debating, and “New York Doll,” about New York Dolls bassist Arthur Kane, was given unique access to the Romney campaign and to the candidate’s family, beginning in 2006.