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Finding the limit of a continuous function requires the simple algebraic technique of substitution. For more complicated functions, other algebraic techniques are required. These techniques include the following:
Substitution Simplifying expressions Rationalizing the numerator or denominator
These last two techniques are used when direct substitution yields the indeterminate form, wherein both numerator and denominator are zero (0/0). When the indeterminate form arises, from direct substitution, some type of algebra must be done to change the form of the function. Caution: Do not make the mistake of assuming that the indeterminate form of 0/0 somehow "cancels out" and is equal to 1. This is not true.
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