LONDON, May 2 (Reuters) - The dollar recovered from a three-year trough versus a currency basket on Monday, boosted by Osama bin Laden's death, but gains were limited and low U.S. interest rates were expected to keep the greenback weak. The dollar jumped in an initial reaction to news that U.S. Special Forces had killed the al Qaeda leader in Pakistan as it was seen as positive for Washington, which had been hunting the elusive figure for nearly a decade. [ID:nL3E7G2092] The announcement triggered short-covering demand for the U.S. currency after the dollar index .DXY had hit its weakest since mid-2008. However, with much of Asia and the UK closed for public holidays, markets were illiquid.