Question

Continuity definition using epsilon delta definition

Answer 1

Here it is the epsilon delta definition for continuity....here c is the point to which x converges that is why we say the distance between them is smaller number delta

Answer 2

Answer:

The (ε, δ)-definition of continuity. We recall the definition of continuity: Let f : [a, b] → R and x0 ∈ [a, b]. f is continuous at x0 if for every ε > 0 there exists δ > 0 such that |x − x0| < δ implies |f(x) − f(x0)| < ε. We sometimes indicate that the δ may depend on ε by writing δ(ε).

Step-by-step explanation: