removable and nonremovable discontinuities in exercises 35–60, find the -values (if any) at which is not continuous. which of the discontinuities are removable?

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removable discontinuities. See the explanation below.## What is a removable discontinuity?

removable discontinuityis a point in a graph where it is not linked but may be made so by filling in a single point.discontinuityis detachable at x=a if the limit limxaf(x) exists and is finite. There are two kinds of removable discontinuities. At x=a, the function is undefined.non–removable discontinuityis one in which the limit of the function does not exist at a given point, i.e. lim xa f(x) does not exist.## What is the calculation justifying the above answer?

Part A: Where F(x) = 6/xf(x) = 6/0 = ∞; Thus,

Part B: Where F(x) = 4/(x-6)F(x) = 4/(6-6)

Part C: Where F (x)In this instance as well, F(c) is defined and continuous.

Thus, F(x) in this case is continuous for all X ∈ R

removable discontinuity:https://brainly.com/question/23655932

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Full Question:38: f(x) x² – 4x + 4