2012-01-05 08:11:18 Connection from [x.x.x.x] refused: too many connections
2012-01-05 08:11:18 Connection from [x.x.x.x] refused: too many connections
2012-01-05 08:11:18 Connection from [x.x.x.x] refused: too many connections
2012-01-05 08:11:18 Connection from [x.x.x.x] refused: too many connections
2012-01-05 08:11:18 Connection from [x.x.x.x] refused: too many connections
2012-01-05 08:11:18 Connection from [x.x.x.x] refused: too many connections
2012-01-05 08:11:18 Connection from [x.x.x.x] refused: too many connections
Edit /etc/exim.conf
smtp_accept_max = nn
smtp_accept_max_per_host = nn
restart exim /etc/init.d/exim restart