Determine the points at which the function f to the right has discontinuities. For each point state the conditions in the continuity checklist below that are violated 1. f(a) is defined (a is in the domain of f) 2. fim f(x) exists. 3. 2- Xa 3. lim f(x)= f(a) (the value of f equals the limit of f at a) f(x) is discontinuous at x= (Use a comma to separate answers as needed.) Select the correct choice below and, if necessary, fill in the answer box within your choice, O A. The point(s) at x= violate(s) the first condition in the checklist. (Use a comma to separate answers as needed.) O B. No points violate the first condition in the continuity checklist. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The point(s) at x= violate(s) the second condition in the checklist. (Use a comma to separate answers as needed.) O B. No points violate the second condition in the continuity checklist. Note that the third condition is automatically violated if either the first or the second condition is violated. Select choice choice below and, if necessary, fill in the answer box within your O A. The point(s) at x= violate(s) the third condition in the checklist (Use a comma to separate answers as needed.) O B. No points violate the third condition in the continuity checklist

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.