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Please repose the question in the pictures, put the answer in the pictures, and write over the picture the answer. 6. Find all values x
Please repose the question in the pictures, put the answer in the pictures, and write over the picture the answer.
6. Find all values x = a where the function is discontinuous. For each point of discontinuity, give (a) lim f(x), (b) lim f(x), (c) Print x-a x-a lim f(x), (d) f(a) if it exists, and (e) identify which conditions for continuity are not met. Be sure to note when the limit doesn't x-a exist. f(x) is discontinuous at x = (Use a comma to separate answers as needed.) (a) Find lim f(x) for the a-value found above. Select the correct choice below and fill in any answer boxes in your choice. x-a O A. lim f(x) = (Type an integer or a simplified fraction.) x-a O B. The limit does not exist. (b) Find lim f(x) for the a-value found above. Select the correct choice below and fill in any answer boxes in your choice. x-a* O A. lim f(x) = (Type an integer or a simplified fraction.) x-a O B. The limit does not exist. (c) Find lim f(x)for the a-value found above. Select the correct choice below and fill in any answer boxes in your choice. X-a O A. lim f(x) = (Type an integer or a simplified fraction.) x -+ 2 O B. The limit does not exist. (d) Select the correct choice below and fill in any answer boxes in your choice. O A. f(3) = (Type an integer or a simplified fraction.) O B. The answer is undefined.9. 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. |x + 41 p(x) = X + 4 Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. Use a comma to separate answers as needed.) O A. f is discontinuous at the single value x = The limit is O B. f is discontinuous at the single value x = The limit does not exist and is not co or - co O C. f is discontinuous at the two values x = The limit for the smaller value is The limit for the larger value is O D. f is 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 co or - co. O E. f is discontinuous at the two values x = The limit for the smaller value does not exist and is not co or - co. The limit for the larger value is O F. f is discontinuous over the interval The limit is (Type your answer in interval notation.) O G. f is discontinuous over the interval The limit does not exist and is not co or - co. (Type your answer in interval notation.) O H. f is continuous for all values of x. O I. f is discontinuous at the two values x = The limits for both values do not exist and are not co or - co.X+ 4 Let g(x) = . Determine all values of x at which g is discontinuous, and for each of these values of x, define g in such a manner as to remove the discontinuity, if possible. x2 - 3x - 28 g(x) is discontinuous at x = (Use a comma to separate answers as needed.) For each discontinuity in the previous step, explain how g can be defined so as to remove the discontinuity. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. O A. g(x) has one discontinuity, and it cannot be removed. O B. g(x) has two discontinuities and neither can be removed. O C. g(x) has two discontinuities. The lesser discontinuity can be removed by defining g to be at that value. The greater discontinuity cannot be removed. O D. g(x) has one discontinuity, and it can be removed by defining g to at that value. O E. g(x) has two discontinuities. The lesser discontinuity cannot be removed. The greater discontinuity can be removed by setting g to be at that value. OF. g(x) has two discontinuities. The lesser discontinuity can be removed by defining g to be at that value. The greater discontinuity can be removed by defining g to be at that valueStep by Step Solution
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