Finding limits algebraically - when direct substitution is not possible

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Now Playing:Finding limits algebraically when direct substitution is not possible– Example 1
Examples
  1. Simplify Out "Zero Denominator" by Cancelling Common Factors

    Find limx3  x29x3\lim_{x \to 3} \;\frac{{{x^2} - 9}}{{x - 3}}

    Introduction to Calculus - Limits
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    Notes
    There are times when applying direct substitution would only give us an undefined solution. In this section, we will explore some cool tricks to evaluate limits algebraically, such as using conjugates, trigonometry, common denominators, and factoring.