MATH 121 Lecture Notes - Lecture 6: Piecewise, Removable Singularity, Indeterminate Form

• School: University of Alabama
• Department: MATH
• Course: MATH 121
• Professor: Wein

Document Summary

Section 3. 2/3. 3: limits and continuity/ limits and continuity: algebraic view points. A function f is continuous at x = c if the following three conditions are satisfied: f(c) is defined; 2. lim xf x c exists; 3. lim x c xf cf. The function f is said to be continuous on its domain if it is continuous at each point in its domain. If the number c is an endpoint of the domain, the limit is the left or right limit, as appropriate. If f is not continuous at c, it is discontinuous there. The graph of a function f is given. b). The graph of a function f is given. Math 121 3. 2/3. 3 pg 2: the graph of a function f is given. Example 2: identify which of the given graphs represent functions continuous on their domains. (select all that apply. ) Example 3: use a graph to determine whether the given function is continuous on its domain.