This code

myTakePM :: Int -> [a] -> [a]
myTakePM 0 _ = []
myTakePM n (x:xs) = x : myTakePM (n-1) xs


is bad because it allows 

myTakePM 4 [1,2,3]
 [1,2,3*** Exception: <interactive>:(395,1)-(396,41): Non-exhaustive patterns in function myTakePM

I knew it would not work, but why is it calling this essentially a partial function? How does it know this? Again, I expected an error, but what is this Non-exhaustive patterns in function myTakePM saying? Or, said another way, what exactly is non-exhaustive about this?
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Lawrence Bottorff
Grand Marais, MN, USA
borgauf@gmail.com