First Republic Bank remained imperiled on Monday as last week’s $30 billion cash infusion by some of the nation’s biggest banks and a frantic effort to sell a stake in the bank to raise additional cash did little to calm investors and depositors.Instead, the regional lender was teetering. Trading in its shares on the New York Stock Exchange was automatically halted several times to prevent a free fall, and the stock was down 46 percent in the early afternoon.First Republic, a midsize bank based in San Francisco, had lost roughly $70 billion in deposits in recent weeks, said two people with knowledge of the matter — nearly half of its total depositor base as of the end of last year. The attempt to sell a piece of the bank ha …
