using System;

using System.Threading.Tasks;

​

public static class TaskEx

{

    public static void AvoidUn(this Task task)

    {

        task.ContinueWith(p => Console.WriteLine("Task is faulted: " +  p.Exception), TaskContinuationOptions.OnlyOnFaulted);

    }

}

​

public class Program

{

    public static async Task Main()

    {

        Console.WriteLine("Started");

        TaskScheduler.UnobservedTaskException += (o, ev) => {Console.WriteLine("Unobserved handler", ev.Exception);};

        Task.Run(() => {

            Console.WriteLine("Throw exception");

            throw new Exception("Test ex");

            return Task.Delay(100);

        }).AvoidUn();

        await Task.Delay(200);

        GC.Collect();

        Console.WriteLine("Complete");

        await Task.Delay(100);

    }

}