If it is a "coil" type of sender with a sliding sensor then you should be able to measure a resistance when measuring across the "coil". Check with the manufacturers data for the correct resistance but an extremely high resisitance (Mohms) means that there is an open circuit. Clean contact(s) with alchohol or something non-corrosive and then measure the resistance between the slider and one end of the coli whilst moving the sliding sensor up and down.
Have a look at the VDO website where you can find circuit diagrams and values of senders resistance ........ obviously for VDO products...... but it wll give you an idea.
Before giving specfic answers one would need to know if its a VDO tpye or the plain resistor unit, determined by observation of the tank unit. The resistor type can be identfied by having only one insulated terminal and one wire bolted to the tank. If you supply to the forum which type you have fitted then you will get the correct method to solve you problem.
Have you just fitted a new guage or sender unit?
Remember there is European resistance and American reaistance, which arent compatable with each other, senders and guages both have to be one or the other.
Most VDO guages are Euro, while nearly all Faria and Teleflex are American.
It was an ongoing saga for me for a while, eventually I had to buy VDO guages.
It has two wires from sender, one goes directly to the gauge and the other goes to earth via the engine. There is also an earth from the gauge and input from the ignition
thanks