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Hifumi's Study Notes📕Cegep 1MathematicsDiscontinuity

Discontinuity ​

Tags
Cegep1
Mathematics
Word count
92 words
Reading time
1 minute

Quality of a function that is not continuous at a point or over an interval

Types ​

Some discontinuities don't have a type!

Jump ​

limx→c−f(x) and limx→c+f(x) exist, yet limx→c−f(x)≠limx→c+f(x)

$f(c)$ may not exist!

Removable ​

limx→cf(x) exists, yet limx→cf(x)≠f(c)

Infinite ​

V. A. at x=c

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