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Math Help - Limit problem - am I correct?

  1. #1
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    Limit problem - am I correct?

    lim(x-->infinity) (3x + 5) / (x - 4)

    I first worked it out by taking the limit of each number, and found the denominator to have a limit of 0. Would that make the limit of the whole equation = infinity?
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by question111 View Post
    lim(x-->infinity) (3x + 5) / (x - 4)

    I first worked it out by taking the limit of each number, and found the denominator to have a limit of 0. Would that make the limit of the whole equation = infinity?
    Try multiplying the numerator and denominator by \frac{1}{x}

    \lim_{x \to \infty}\frac{3+\frac{5}{x}}{1-\frac{4}{x}}

    Now the limit is easy to compute becuase the terms \frac{5}{x},\frac{4}{x} both go to zero leaving us with the limit equal to 3.
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  3. #3
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    Ah, I did a problem just before the exact same way. I don't know what I was thinking on this one.

    Thank you very much.
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