Limits and Continuity

Derivative: The derivative of a function measures how fast it changes at each point and provides information about its slope or rate of change.

Infinite Limit: An infinite limit occurs when the output of a function becomes infinitely large (positive or negative) as its input approaches a certain value.

Discontinuity: A discontinuity is present in a function when there is an abrupt jump, hole, or vertical asymptote in its graph, indicating that it is not continuous at that point.