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Math Help - This equation doesn't have a limit, does it?

  1. #1
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    This equation doesn't have a limit, does it?

    I don't know how to format, sorry...

    "Find the limit, if it exists"

    Limit (as x approaches 2): (x^2 - x +6)/(x-2)

    I used the quadratic formula to try to find values for the numerator, but one ends up with 1 plus or minus the square root of -23 divided by two. Obviously, negative numbers don't have real square roots, so is it safe to say there is no limit to this equation? Thanks...
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  2. #2
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    Quote Originally Posted by satx View Post
    I don't know how to format, sorry...

    "Find the limit, if it exists"

    Limit (as x approaches 2): (x^2 - x +6)/(x-2)

    I used the quadratic formula to try to find values for the numerator, but one ends up with 1 plus or minus the square root of -23 divided by two. Obviously, negative numbers don't have real square roots, so is it safe to say there is no limit to this equation? Thanks...
    \lim_{x \to 2} \frac{x^2-x+6}{x-2}

    the limit does not exist since the numerator approaches 8 and the denominator approaches 0
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