AP Calculus Unit 1 Test prep Limits

Front

What is a limit in calculus?

Back

A limit is a value that a function approaches as the input approaches some value.

Front

What does DNE stand for in the context of limits?

Back

DNE stands for 'Does Not Exist', indicating that a limit does not approach a finite value.

Front

What is continuity at a point?

Back

A function is continuous at a point if the limit as x approaches that point equals the function's value at that point.

Front

What is a removable discontinuity?

Back

A removable discontinuity occurs when a function is not defined at a point, but can be made continuous by defining it appropriately.

Front

What is a non-removable discontinuity?

Back

A non-removable discontinuity is a point where the function cannot be made continuous by redefining it, often due to a vertical asymptote.

Front

What is a jump discontinuity?

Back

A jump discontinuity occurs when the left-hand limit and right-hand limit at a point exist but are not equal.

Front

How do you find the limit as x approaches a value?

Back

To find the limit, substitute the value into the function if it is defined, or analyze the behavior of the function as it approaches that value.

Front

What is the difference between left-hand limit and right-hand limit?

Back

The left-hand limit is the value the function approaches as x approaches from the left, while the right-hand limit is from the right.

Front

What does it mean for a function to be continuous on an interval?

Back

A function is continuous on an interval if it is continuous at every point within that interval.

Front

What is the limit of a constant function?

Back

The limit of a constant function as x approaches any value is the constant itself.