What is the definition of continuity at a point?

Related questions

• What are the three conditions for continuity at a point?
• What is continuity at a point?
• What does continuous at a point mean?
• What makes a function continuous at a point?
• How do you find the points of continuity and the points of discontinuity for a function?
• What does continuity mean?
• How do you use continuity to evaluate the limit `arctan(x^2-4)/(3x^2-6x)`?
• How do you find the points of continuity of a function?
• How do you find the continuity of a function on a closed interval?
• If `f(x)= (x^2-9)/(x+3)` is continuous at `x= -3`, then what is `f(-3)`?