Types of discontinuities
7:16
Khan Academy
Types of discontinuities
This video discusses three discontinuity types: point/removable, jump, and asymptotic/infinite. Point/removable occurs when the two-sided limit exists but differs from the function's value. Jump arises when one-sided limits aren't equal, and asymptotic/infinite happens when the two-sided limit is unbounded. Continuity requires the two-sided ...
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SOLVED: In the illustration below, the discontinuities in graphs (a) and (b) are called removable discontinuities because they disappear if we redefine the function f(x) such that lim f(x) = f(a). The function in graph (c) has a discontinuity because the left and right limits exist but are not equal. The function in graph (d) has an infinite discontinuity because it has a vertical asymptote at x = infinity.Identify and classify the discontinuities of the functions:f(x) = 2x^2 81 / (x 8)g(x)
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