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Math Help - Solving a limit

  1. #1
    s3a
    s3a is offline
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    Solving a limit

    How do you solve this limit? I get sqrt(3)/4 as my final answer and apparently it is wrong. My work (and the question) is attached (although my handwriting is terrible).

    Any help would be greatly appreciated!
    Thanks in advance!
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  2. #2
    MHF Contributor red_dog's Avatar
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    \lim_{x\to-\infty}\frac{\sqrt{11+3x^2}}{2+4x}=\lim_{x\to-\infty}\frac{|x|\sqrt{\frac{11}{x^2}+3}}{x\left(\f  rac{2}{x}+4\right)}=

    =\lim_{x\to-\infty}\frac{-x\sqrt{\frac{11}{x^2}+3}}{x\left(\frac{2}{x}+4\rig  ht)}=-\lim_{x\to-\infty}\frac{\sqrt{\frac{11}{x^2}+3}}{\frac{2}{x}+  4}=-\frac{\sqrt{3}}{4}
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