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Seward & Kissel
One Battery Park Plaza
New York, New York 10105
March 3, 2000
Securities and Exchange Commission
450 Fifth Avenue, N.W.
Washington, D.C. 20549
Alliance Limited Maturity Government Fund, Inc.
(File Nos. 33-47031 and 811-06627)
_____________________________________________
Dear Sirs:
This letter is filed pursuant to Rule 497(j) under
the Securities Act of 1933 and is certification that the
Statement of Additional Information with respect to the
above referenced fund does not differ from that filed in the
most recent post-effective amendment, the text of which was
filed electronically.
Very truly yours,
/s/ Janet R. Murtha
00250110.BE0
