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Math Help - Limit problem.

  1. #1
    Junior Member
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    Limit problem.

    Hi there!

    lim x->0 [3*sqrt(2x-1) - thirdroot(3x-2)]/sqrt(4x-3) - 1

    I didn't know how to write third root with simbols.

    Thank you.
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  2. #2
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    Using Wolfram Mathematica:
    \text{Limit}\left[\left(3*\sqrt{2x-1}-\sqrt[3]{3x-2}\right)/\sqrt{4x-3}-1,x\to 0\right]
    -1-\frac{1}{2^{2/3}}+\frac{i}{2^{2/3} \sqrt{3}}+\sqrt{3}
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  3. #3
    Senior Member vincisonfire's Avatar
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    Reply

    There is no discontinuity at the point x = 0. Therefore you can simply plug in the given value of x and evaluate.
    As James Bond told you, you're gonna get a complex answer. That is there exists no real answer to this limit.
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  4. #4
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    Hmm, my book gives -1/6 as solution. Can you tell me how to reach to this solution.

    Thanks and sorry for my language.
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  5. #5
    MHF Contributor
    skeeter's Avatar
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    0 is not in the domain of the expression you originally posted ... I recommend you recheck the problem.
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