Limits and Continuity

  • In mathematics, the term continuous has much the same meaning as it has in everyday usage.
  • Informally, to say that a function is continuous at x=c means that there is no interruption in the graph of f at c.
  • That is, its graph is unbroken at and there are no holes, jumps, or gaps.
  • This section will focus on the limit definition of continuity.

Essential Questions

How are limits and continuity related?