calculus limits with graphs

Front

What is a limit in calculus?

Back

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

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What does it mean if a limit exists?

Back

A limit exists if the function approaches a specific value from both the left and right sides as the input approaches a certain point.

Front

What is the notation for a limit approaching from the left?

Back

Front

What is the notation for a limit approaching from the right?

Back

Front

What does it mean if a limit is 'dne'?

Back

'DNE' stands for 'Does Not Exist', indicating that the function does not approach a specific value.

Front

Back

Look at the y-values that f(x) approaches as x approaches c from both sides.

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

What is the limit of a function as x approaches infinity?

Back

The limit as x approaches infinity describes the behavior of the function as x increases without bound.

Front

What is a 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 a jump discontinuity?

Back

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