In two or more dimensions, one must consider many paths that one could take to the limit point. One must get the same value along all of these paths for the limit to exist.
Image file: limit_many_paths_two_dimensions.png
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Nykamp DQ, “A limit involves many paths in two or more dimensions.” From Math Insight. http://mathinsight.org/image/limit_many_paths_two_dimensions
A limit involves many paths in two or more dimensions by Duane Q. Nykamp is licensed under a Creative Commons Attribution-Noncommercial-ShareAlike 3.0 License. For permissions beyond the scope of this license, please contact us.