Evaluate and graph the following expression:

$\underset{x\to \mathrm{-3}}{lim}\left(\frac{{x}^{2}-9}{x+3}\right)$

Sometimes, simple substitution can't be used to evaluate a limit because the results of the substitution are indeterminate (e.g. dividing a number by 0). When that happens, a different technique needs to be applied.

Here we illustrate how we first use**algebraic simplification** to create an equation that
*can* be evaulated by substitution.

$\underset{x\to \mathrm{-3}}{lim}\left(\frac{{x}^{2}-9}{x+3}\right)$

Sometimes, simple substitution can't be used to evaluate a limit because the results of the substitution are indeterminate (e.g. dividing a number by 0). When that happens, a different technique needs to be applied.

Here we illustrate how we first use

Calculus Review - Evaluating Limits by
Simplification

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