Limits Flashcards
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| 14015124773 | continuous function | *a graph you can draw without picking up your pencil *the limit as x approaches any a is always equal to the value of the function at a. |  | 0 |
| 14015124774 | discontinuous function | A function with a jump, hole, or asymptote. |  | 1 |
| 14015124775 | step discontinuity (jump) | A discontinuity for which the graph steps or jumps from one connected piece of the graph to another. |  | 2 |
| 14015124776 | removable discontinuity (hole) | A removable discontinuity is a point on the graph that is missing or separate from the rest of the function. |  | 3 |
| 14015124777 | Infinite discontinuity | A graph which approaches one or more asymptotes, resulting in a graph that cannot be drawn without lifting up your pencil. |  | 4 |
| 14015124778 | limit | A prediction of a function's y value based on it's behavior at x-values very close to the point you're interested in. | 5 | |
| 14015124780 | definition of continuity | f(x) is continuous iff the function is defined at x = a, the limit of f(x) as x -> a exists, and the limit of f(x) as x -> a = f(a). |  | 6 |
| 14015124787 | Graphs of functions that are not continuous at x = c |  | 7 |