Limits and Continuity - 21

What does it mean for a function to be continuous? We will see three different ways to define continuity of a function f : E → Y. We’ll develop the appropriate intuition for continuity that the function is continuous if its limit exists as x → p and if this limit approaches f(p). Using this limit definition, we could either define continuity in terms of epsilon and delta, by convergence of sequences of inputs and outputs, or through its topological properties.

Our final project assignment will require that you work in teams with other students in class. Each team will have 3–4 members.