Woah there nelly, I meant take the -board- in, not the entire computer.

If you do that, take in a -printed- disassembly guide for the specific eMac model, and be prepared to pay them workshop rates to disassemble. And possibly break stuff.

Far, far, better to strip it down yourself (if you are able) and point directly at the suspect caps.

/edit/ oh, wait, you mean you're taking it to the Apple store first? I may have misread. I thought you meant the TV store.