Battery Ventures has closed a new $750 million, giving it nearly $4 billion under management—and providing another sign for soothsayers looking for proof of recovery in venture capital action. The veteran VC firm, which prides itself on multi-stage investments, says Battery IX gives it the flexibility to make small investments in startups and larger investments for late-stage expansion and buyouts. BV has offices in Menlo Park, Calif., Waltham, Mass. and Herzliya, Israel.