I know this question has been asked before, but I didn't get the right answer after googling SO.
I have these lines of code:
Task.Run(() => DoSomething())
    .ContinueWith(t=>Log.Error(t,"Error"), TaskContinuationOptions.OnlyOnFaulted);
Task.Factory.StartNew(() => DoSomething())
    .ContinueWith(t=>Log.Error(t,"Error"),TaskContinuationOptions.OnlyOnFaulted);
After a successful run of DoSomething, Task.Run throws TaskCanceledException while Task.Factory.StartNew works fine. Why?
further reading:
Stephen Clearly on why not use Task.Factory.StartNew
MSDN Link
UPDATE 2: Sample Code:
private async void button27_Click(object sender, EventArgs e)
{
    var r = new Random(System.DateTime.Now.Millisecond);
    await Task.Factory.StartNew(
        () => {
            Divide(r.Next(100), r.Next(-1, 10));
            Log.Information("Divide Done!");
        },
        CancellationToken.None,
        TaskCreationOptions.DenyChildAttach,
        TaskScheduler.Default)
    .ContinueWith(
        t => {
            Log.Error(t.Exception,"There is an exception on Divide");
        },
        TaskContinuationOptions.OnlyOnFaulted);
}
private static void Divide(int a, int b)
{
    var c = a/b;
}