What are the three conditions for continuity at a point? Calculus Limits Definition of Continuity at a Point 1 Answer Alan P. Mar 9, 2018 A function f(x) is continuous at a point (a,b) if and only if: f(a) is defined; lim_(xrarra) f(x) is defined; and lim_(xrarra) f(x) =b Answer link Related questions What is continuity at a point? What is the definition of 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)? See all questions in Definition of Continuity at a Point Impact of this question 42490 views around the world You can reuse this answer Creative Commons License