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Math Help - evaluating a limit

  1. #1
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    evaluating a limit

    evaluate the limit ..




    i've tried everything and cant seem to get it.. i multiplied top and bottom by 1/t and squared it all by ^1/2. i got 4 and it was wrong, then i did it another way to get 6/3 and that was wrong too =(
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  2. #2
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    Quote Originally Posted by sjara View Post
    evaluate the limit ..




    i've tried everything and cant seem to get it.. i multiplied top and bottom by 1/t and squared it all by ^1/2. i got 4 and it was wrong, then i did it another way to get 6/3 and that was wrong too =(
    \frac{6t-9}{\sqrt{t^2 + 3t + 5}} = \sqrt{\frac{36t^2-108t+81}{t^2 + 3t + 5}} = \sqrt{\frac{36-\frac{108}{t}+\frac{81}{t^2}}{1 + \frac{3}{t} + \frac{5}{t^2}}}<br />

    now take the limit as t \to \infty
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  3. #3
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    it worked thanks! if you dont mind me asking though, why square the top? i thought you only did that when it was to the negative infinity
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  4. #4
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    Quote Originally Posted by sjara View Post
    it worked thanks! if you dont mind me asking though, why square the top? i thought you only did that when it was to the negative infinity
    I squared the numerator to get all of it under the radical.
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