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Suppose limit as lim (x,y) -> (0,0) for f(x,y)has the same value on all paths of the form {(x,y):y=mx} where m is a constant.Then does

Suppose limit as lim (x,y) -> (0,0) for f(x,y)has the same value on all paths of the form {(x,y):y=mx} where m is a constant.Then does it follow that the limit exists?

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