Wish it could be that simple, but seeing the CPU fan not turn, doesn't tell you if its good or bad.
A CPU will continue to run even if the fan is bad (stops working or turning), for say.
Determining if a CPU bad is usually somewhat hard, but usually the bios can reporting it on the screen, or through system beeps.
The only method I know, to be more sure, is to trying the CPU on another MB, which isn't usually an option to try around the house. Recently my PIII 800 actually did go bad, but the fan still works. I thought it was the MB at 1st, but I had another MB to test it out, plus another PII 400 to test the MB I thought went bad.
Perhaps you should look at some other componets to help trouble shoot perhaps other causes. RAM going bad can also cause the video not to come up. Bad video card could be another.
Or even a MB that has gone bad can be a problem.
Not sure what to recommend, except perhaps looking a RAM traces to see if there any burn marks. Or Power Molex burns. (Cords to MB or HD/floppy).
You better get a friends MB or something to test the cpu... even if the fan fails....the cpu will go for a while..(i ran passive for hours...Q-fan does it to me)..and will shut down when it's too hot....
Try to take everything out...just the vid, a stick of ram and cpu(unplug the HDD,cd and pci/e cards)....see if it posts..if it does add parts one at a time....to find whats bad...
Also it does not hurt to reseat the cards,ram and cpu(if u have some thermal compound....if not don't do that....)