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Math Help - stuck on limits problem

  1. #1
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    stuck on limits problem

    evaluate the limit, if it exists:


    lim x^2+x-6/x-2
    → 2


    How do I go about solving this?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by DroMan View Post
    evaluate the limit, if it exists:


    lim x^2+x-6/x-2
    → 2


    How do I go about solving this?
    factorize the numerator

    cancel the denominator

    take the limit
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  3. #3
    Banned
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     \mathop {\lim }\limits_{x \to 2} \frac{{x^2  + x - 6}}<br />
{{x - 2}} \hfill \\

    = \mathop {\lim }\limits_{x \to 2} \frac{{\left( {x + 3} \right)\left( {x - 2} \right)}}<br />
{{x - 2}} \hfill \\

    = \mathop {\lim }\limits_{x \to 2} \left( {x + 3} \right) \hfill \\

     = 2 + 3 \hfill \\

    = 5 \hfill \\
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