For metal oxide type pseudocapacitor electrodes, you have to use 0 to 0.6 V in an electrolyte like KOH. using other electrolytes like NaCl for pseudocapacitor electrode will not give a good result. Actually The potential window is specified by performing cyclic voltammetry until there is the occurrence of Hydrogen evolution reaction in negative side and Oxygen evolution reaction in the positive side.
For Further information I suggest you to read this article : Chapter Supercapacitors
According to the electrolyte and active material used. For aqueous like KOH and NaOH from 0 to 1 V. Conducting polymer -0.2 to 0.8. carbon materials 0 to 1 V.