### Concept (1)

When we evaluate limits that are not continuous, we can use algebra to eliminate the zero from the denominator and then evaluate the limit using substitution. When **evaluating limits algebraically** we can eliminate the zero in the denominator by factoring or simplifying the function.

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Sample Problems
(3)

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###### Problem 1

How to evaluate the limit of a function at points where it is not continuous. Finding points of discontinuity of rational functions and canceling factors so that the function becomes continuous.

###### Problem 2

How to evaluate the limit of a function at points where it is not continuous by canceling factors in the numerator and denominator.

###### Problem 3

How to evaluate the limit of a radical function at points where it is not continuous by multiplying by the conjugate of the radical expression.