Continuity of functions
Compare limits and function values to judge continuity.
Meaning
A function is continuous at a point when its value there is defined and equals its limit as the input approaches that point. On an interval, this condition is checked at each point in the interval.
Example
Practice for this concept
Scope and references
Topics
Continuity and discontinuity, conditions for continuity, properties of continuous functions
Learning goal
Compare limits and function values to judge continuity.
Helpful background
Check the value at a point and the left-hand and right-hand limits separately.
Continuity
These ordinary choice questions provide limited practice in this concept. They do not establish independent solution, full-concept performance, or mastery.