Clever. I definitely figured it "had" a limit that varies by path - I'm not a mathematician but I instinctively distrust singularities like this one's 0/0. But

Clever. I definitely figured it "had" a limit that varies by path - I'm not a mathematician but I instinctively distrust singularities like this one's 0/0. But it's a surprise to see a function whose limit varies between the linear and nonlinear paths.