You would get the speedtrim fail on the overhead panel and a speed limit flag on your PFD as you have probley turned the start switch off on the engine with that has failed (severe damage). By doing so you depower the failed engines EEC hence the speedtrim fail etc. No crew action required in flight (QRH) But watch out as if your using the failed side autopilot (CMD A or B) you will not be able to select a pitch mode unless you either swap autopilot or turn the start switch back to CONT and power up the failed side EEC. About all I know about it. Black magic...