He also said it has the sad Mac chime.
Do you hear the hard drive spinning? There are two caps on the internal DC DC board that need replacing, but yes there are about 10 caps on the LCD board that likely need replaced.
Do you have a multimeter? Can you verify your AC adapter is outputting the right voltage or close to it? If you need someone to replace the caps, I can do it for you for a price if you want.