## Definition 6.1.2: Limit of a Function (sequences version)

A function

*f*with domain*in***D***converges to a limit***R***L*as*x*approaches a number*c*if for any sequence*{x*in_{n}}*that converges to***D***c*the sequence*{f(x*converges to_{n})}*L*. We writef(x) = L