Limits - where Direct Substitution doesn't work

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In this video I go over briefly what the direct substitution property is for limits and also go over a very useful example on how to solve limits where you can't directly substitute numbers into the limit.


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Limits– Where Direct Substitution Doesn’t work

Limits - Where Direct substitution doesn't work.jpg

Direct Substitution Property

If f is a polynomial or a rational function and a is in the domain of f, then:

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Functions with the Direct Substitution Property are called continuous at a.

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Where Direct Substitution Does Not Work

Not all limits can be evaluated by direct substitution, such as the following example:

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