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Verify the Fan Assembly Connectors are clean, not damaged and connected properly.
Remove the Fan Assembly connector to inspect and assure the Fan Assembly connectors are clean and not damaged. See pg 104, or as noted in the PDF reader as pg 110, of the "thinkpad t40 t40p t41 t41p t42 t42p Maintenance Manual" for more details if needed. This manual is found in the Attached Documents section at the end of this Guide.
Install and reconnect the Fan Assembly connector making sure the connection is properly seated.