NEW YORK—New headwinds—most notably oil prices—confront the U.S. march to recovery, U.S. Treasury Secretary Timothy Geithner said Tuesday. Unemployment, long a weak spot in the economy, remains "very high," and the economy feels "unfairly hard" to most Americans, Mr. Geithner said in comments that weighed on the dollar. He said oil prices at current levels, while challenging, weren't at levels that threaten to derail the recovery. First, though, U.S. lawmakers must agree to increase the debt limit, something some politicians have said they will not do unless there is broad agreement on massive cuts to a bloated federal budget. The...