0.1uF does well at 3 MHz, 0.01 at 30. 0.001 at 300. It's a broad response, so dont think that there's one specific value. These are fail safe capacitors which are self healing and must be replaced with the same type. Replacing electrolytic caps with much higher voltage rated devices can upset circuit operation. Electrolytics don't start behaving as proper capacitors until they reach a fraction of their rated voltage.
Some circuits require capacitors capable of withstanding large current pulses.
Using the wrong sort of cap in this situation would lead to overheating and other nasty consequences. Make good power supply and ground connections. There are a long list of strange things that happen when you skip this step. The Scenix SX52 may not start running if all of its supply pins are not connected. Keep the distance between the Vdd and Vss pins on the same chip as short as possible.