How to quickly tell if a discontinuity is removable or non-removable?

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Given any function where you're asked to find all points of discontinuity and to classify those points, is there a quick way to look at it and tell if that discontinuity is removable or not?

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1 Answer

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A removable discontinuity occurs precisely when the left hand and right hand limits exist as equal real numbers but the value of the function at that point is not equal to this limit because it is another real number.

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