Before revision:  We } demonstrate by examples how continuity properties are useful to solve different stochastic control problems on optimal liquidation , and to identify asymptotically realizable proceeds and wealth processes from (self-financing) c\`{adl\`{a}g trading strategies} .
After revision:  We } demonstrate by examples how continuity properties are useful to solve different stochastic control problems on optimal liquidation and to identify asymptotically realizable proceeds and wealth processes from (self-financing) c\`{adl\`{a}g trading strategies} .