Find all values x = a where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesn't exist. Vx-4 k(x) = 4 e O A. fis discontinuous at the single value x = The limit is B. fis discontinuous at the single value x = The limit does not exist and is not o or - 0o. O C. fis discontinuous at the two values x = The limit for the smaller value is The limit for the larger value is O D. fis discontinuous at the two values x = The limit for the smaller value is The limit for the larger value does not exist and is not oo or - 0o. O E. fis discontinuous at the two values x = The limit for the smaller value does not exist and is not o or - o. The limit for the larger value is O F. fis discontinuous over the interval The limit is (Type your answer in interval notation.) O G. fis discontinuous over the interval The limit does not exist and is not o or - 0o. (Type your answer in interval notation.) O H. fis continuous for all values of x. OI. fis discontinuous at the two values x = The limits for both values do not exist and are not co or - oo. O O

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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.