One-Sided Limits - Concept

Concept Concept (1)


A limit is the value that a function approaches as the input of that function approaches a certain value. In Calculus, sometimes functions behave differently depending on what side of the function that they are on. By definition, a one-sided limit is the behavior on one only one side of the value where the function is undefined. If the two one-sided limits are not equal, the two-sided limit does not exist.

Sample Sample Problems (3)


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One-Sided Limits - Problem 1
Problem 1
How to use one-sided limits to show that the limit exists by showing that the the left-hand limit must equal the right-hand limit.
One-Sided Limits - Problem 2
Problem 2
How to show that the limit does not exist by showing that the left-hand limit does not equal the right-hand limit.
One-Sided Limits - Problem 3
Problem 3
How to find a two-sided limit by investigating one-sided limits. Finding the limit of a greatest integer function.
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