Limits and Continuity Flashcardizz Review

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 it mean if a limit does not exist?

Back

It means that the function does not approach a specific value as the input approaches a certain point.

Front

Define removable discontinuity.

Back

A removable discontinuity occurs when a function is not defined at a point, but the limit exists at that point.

Front

What is jump discontinuity?

Back

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

Front

What is infinite discontinuity?

Back

Infinite discontinuity occurs when the function approaches infinity or negative infinity as the input approaches a certain value.

Front

Back

Evaluate the function at values approaching 'a' from both sides and see if they converge to the same value.

Front

What is the limit of a constant function?

Back

The limit of a constant function is the constant itself, regardless of the input.

Front

Back

The limit does not exist because the function approaches infinity.

Front

What does it mean for a function to be continuous at a point?

Back

A function is continuous at a point if the limit exists at that point and equals the function's value at that point.

Front

Back

The limit is 4.