Immediately turns off when turned on. New lithium

If the camera has recently been dropped you may have lens damage that is preventing it from powering up. If it hasn't been dropped your problem may be due to corrosion on the battery contacts inside the camera which can prevent the full power of the batteries from flowing into the camera. Try this free fix before you do anything else: remove the batteries and wipe the camera contacts firmly with a dry cloth (heavy corrosion may require cleaning with a wire brush, steel wool, or sandpaper). Remove any residue that may have fallen into the battery compartment during cleaning, then wipe both ends of the batteries and place them back in the camera and give them a full charge (assuming that you are using rechargeable batteries). This cleaning clears the problem about 90% of the time. If it doesn't work for you, the camera may have a problem that requires professional repair.