Left Sided Limit or Left Hand Limit

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Right Sided Limit or Right Hand Limit

The limit of a function at a point if it exists, is unique.

In this case, it can be seen that the limit from both the left and right sided as x tends to 2 is 4.

The limit of the function is 4 as x tends to 2 even though the function has no value at x = 2.

To calculate the limit of a function at a point, it is not of importance what happens at that particular point, but what happens around it.

Example

Given the function:

Calculate .

The function has no limit at x = 0.

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.