bad caps - probably
multi-meter to test them? - no, you need a special meter to test capacitors properly...
this monitor is several years old now. it's best to just replace the electrolytic capacitors and go from there. there are some capacitors that the monitor uses to time how long to scan a line on the screen by how long it takes for the capacitor to charge up and discharge. tweaking the horizontal size adjusts the voltage going in to that capacitor. when the cap gets old, it doesn't hold as much charge as before and thus, discharges quickly as a result. this throws the timing off, making the scan very wide.
I can't tell you specifically which one it is with this chassis, but all the caps are old and dried out and not at their best anymore. it's best to change them out.