Fuel gauge limiter

Hello

My fuel gauge does'nt work. So I checked the sender wire at the tank and had no power, checked the connection behind the left kick panel no power. I tried the terminal at the back of the instrument cluster no power. The temp gauge is working so I'm thinking the limiter is fine and the circuit board looks good. Is it possible the temp gauge is getting the pulse from the limiter and the fuel gauge is'nt?

Could the gauge be checked using a 9 volt battery.

Thanks