Editing Continuous function (section)

====Definition in terms of limits of sequences====
[[File:Continuity of the Exponential at 0.svg|thumb|The sequence {{math|exp(1/''n'')}} converges to {{math|1=exp(0) = 1}}]]
One can instead require that for any [[sequence (mathematics)|sequence]] <math>(x_n)_{n \in \N}</math> of points in the domain which [[convergent sequence|converges]] to ''c'', the corresponding sequence <math>\left(f(x_n)\right)_{n\in \N}</math> converges to <math>f(c).</math>  In mathematical notation, <math display="block">\forall (x_n)_{n \in \N} \subset D:\lim_{n\to\infty} x_n = c \Rightarrow \lim_{n\to\infty} f(x_n) = f(c)\,.</math>