jem05
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im trying to get a function R^2 --> R
whose partial derivatives of all orders exist in a neighborhood of (0,0) but it, itself, is not continuous at the origin.
thing is, i think I am thinking of the question wrong because, I am getting examples and checking if partial der. exist but how can i ensure that all the orders do so,...?
any ideas? thx
whose partial derivatives of all orders exist in a neighborhood of (0,0) but it, itself, is not continuous at the origin.
thing is, i think I am thinking of the question wrong because, I am getting examples and checking if partial der. exist but how can i ensure that all the orders do so,...?
any ideas? thx