Can anyone point me to any examples for task management using FHIR?
Not sure of the context of your question. Assuming that you mean how FHIR supports storing/retrieving of tasks:
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FHIR DSTU2 - does not have a specific resource for Tasks. “Basic” resource can be used, which is a generic FHIR Resource that can be used to map any unmapped entities.
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FHIR STU3 / R4 - “Task” resource has been introduced. See the “workflow” category of resources for supporting resources (Appointments, Tasks, Schedule etc)