Infinite discontinuity
This original textbook reading covers part of the AP topic. Follow the AP course outline for complete topic instruction and practice.
- Infinite discontinuity
- Related Glossary Terms
Compression discontinuity, Hole discontinuity, Hopscotch discontinuity, Jump discontinuity, Skip discontinuity
- Index
Glossary and deeper reading · 1 refreshers
These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.
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Discontinuity
A discontinuity is a failure of continuity at an input being considered. The obstruction can be a missing or mismatched value, unequal one-sided limits, oscillation, or unbounded behavior. For example, assigning f(0)=5 while f(x)=x elsewhere creates a discontinuity at 0. Identifying the obstruction determines whether changing one value can repair it.