# What is the limit of #( x^3 - 8 )/ (x-2)# as x approaches 2?

The limit is

Notice how you have a difference of two cubes.

At this point, the limit can be evaluated:

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We can have another soln., if we use the following useful Standard Limit :

Accordingly,

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The limit of (x^3 - 8) / (x - 2) as x approaches 2 is 12.

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