Limits and Continuity
A limit is a number that is reached by the function as an independent variable approaches a certain value. Continuity is the property of a function that allows it to be traced without lifting the pen from the paper.
1. What is the definition of a limit?
A number that is reached by the function as an independent variable approaches a certain value.
A number reached by a function when an independent variable approaches infinity.
The point at which a graph changes direction.
A number that is approached as an independent variable increases or decreases.
2. How can you test for continuity?
By examining if a pen can trace the graph of a function without lifting the pen from the paper.
By calculating whether or not the derivative of a function exists at all points in its domain.
By calculating whether or not the integral of a function exists at all points in its domain.
By calculating whether or not the limit of a function exists at all points in its domain.
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