What does continuity mean? Calculus Limits Definition of Continuity at a Point 1 Answer Antoine ยท Jim H Mar 30, 2015 In general, for a function f to be continuous at a point where x = a means that as values of x get close to a, the values of f(x) get close to f(a). Mathematically put, lim_(x ->a)f(x) = f(a) check this out: Click Answer link Related questions What are the three conditions for continuity at a point? 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? 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 3978 views around the world You can reuse this answer Creative Commons License