Revision as of 16:02, 4 February 2014 edit Spinningspark (talk \| contribs) 89,216 edits m Reverted edits by 188.154.99.222 (talk) to last version by Addbot ← Previous edit		Revision as of 09:16, 7 April 2014 edit undo Jasper Deng (talk \| contribs) Edit filter managers, Extended confirmed users, Pending changes reviewers, Rollbackers 54,496 edits it's the origin, so you can't just say 0 Next edit →
Line 13: :<math>f(x,y) = \frac{xy}{x^2+y^2}.</math> This function has well-defined [[partial derivative]]s in <math>x</math> and <math>y</math> at 0the origin, but it is not [[Continuous function\|continuous]] at 0origin (the [[limit of a function\|limits]] along the lines <math>x=y</math> and <math>x=-y</math> give different results and f is not defined at the origin). == References ==

Hartogs's theorem on separate holomorphicity: Difference between revisions