Discontinuities

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How to Remove Discontinuity from a Function

How to Remove Discontinuity from a Function

Understanding Removable Discontinuities Definition: A removable discontinuity at a point \( x = a \) occurs if the limit of \( f(x) \) as \( x \) approaches \( a \) exists, but either \( f(a) \) is not defined or \( f(a) \) is not equal to this limit. Graphical Representation: On a graph, […]

How to Find Discontinuities of Rational Functions?

How to Find Discontinuities of Rational Functions?

Discontinuities of rational functions occur when the denominator is (0). Read this post to know more about finding discontinuities of rational functions. Quick answer: A rational function is discontinuous wherever its denominator equals 0. Factor the top and bottom first. A factor that cancels gives a hole (removable discontinuity). A factor left in the denominator gives […]