wolframAlpha claims the limit does not exist, but I'm unable to show how it doesn't. Evaluating the limit on the generalized line y=mx results in evaluating along the curve y=x^2 gives AFAICT, the limit /is/ 0. What am I missing?
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Originally Posted by sgcb wolframAlpha claims the limit does not exist, but I'm unable to show how it doesn't. Evaluating the limit on the generalized line y=mx results in evaluating along the curve y=x^2 gives AFAICT, the limit /is/ 0. What am I missing? I would say that I disagree. If you switch to polar coordinates we get Using the above we can squeeze this using Now by the squeeze theorem the limit must be zero.
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