Maxtor lll external HDD no longer recognized by my computer

I have had my Maxtor One Touch lll external drive for several years and have never had any problems with it. Last week my computer stopped recognizing the drive. I've unplug, shut down and restarted with no luck. How do I get the drive back up or how do I get the over 1000 photos off of the drive?
 
Try the external on another computer. If it is not detected by another computer, take it in for repair or take the drive out of the enclosure yourself. You might be able to attach the drive to your computer like a second drive and attempt to recover any data that way
 
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