Small copper pipe holes don't require soldering for a permanent repair -- properly applied epoxy putty will bond to copper, seal the hole and prevent future leaks. Four years after applying the putty, your pipe will be ready to use. Purchase putty made especially for use with copper at hardware and home stores.
Wash the target area of copper pipe with soap and water. Wait for it to completely dry.
Sand 1 inch in all directions around the hole until shiny copper is exposed. Wipe away sanding dust.
Cut off a marble sized piece of epoxy putty and, using clean hands, mix it with the included hardener according to the directions on your epoxy package. Continue mixing until the epoxy is soft and of uniform colour.
Press the epoxy ball onto the leak. Spread the edges of the putty around the pipe where you sanded it earlier, leaving the thickest part of the ball directly over the leak.
Squeeze the putty to make a bond around the pipe.