Really? What is the limit at present?
The limit is on the amount of United States Notes issued directly by the Treasury as opposed to Federal Reserve Notes.
The limit is $300,000,000 and they were last issued in 1971 so they are rarely seen in circulation. (Altho I did get a $5 US Note in change last year and have kept it.) The designs are similar to those of Federal Reserve Notes, with the most noticeable difference being that instead of a green seal, they have a red seal. (Silver Certificates had blue seals, Gold Certificates had yellow seals and brown seals were on National Bank Notes and Federal Reserve Bank Notes. The difference between Federal Reserve Bank Notes and Federal Reserve Notes was that the FRBN were backed by only one of the twelve Federal Reserve Banks)
Actually, there is a portion of the amount that has been authorized but not currently issued, so there is a small pittance that could be made available by printing new ones. Indeed, since the only denomination limit is that they must be at least $1, they could print a single note for the outstanding authorization and deposit it in a Federal Reserve Bank if they needed to.
Personally, I think they should authorize the issuance of additional U.S. Notes anyway, but not as money intended for general circulation. Issues of commemorative paper money would be a way for the U.S. Treasury to make a modest profit. Why should the Mint and the USPS be the only makers of collectibles?