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For questions in Mathematics Education as a scientific discipline. For more hands-on questions on teaching Mathematics, please use the tag teaching. There is also a Stack Exchange community http://matheducators.stackexchange.com/
16
votes
Examples of common false beliefs in mathematics
A common belief of students in real analysis is that if
$$
\lim_{x\to x_0}f(x,y_0),\qquad\lim_{y\to y_0}f(x_0,y)
$$
exist and are both equal to $l$, then the function has limit $l$ in $(x_0,y_0)$.
It …