# Math Help - Limit problem.

1. ## 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.

2. Using Wolfram Mathematica:
$\text{Limit}\left[\left(3*\sqrt{2x-1}-\sqrt[3]{3x-2}\right)/\sqrt{4x-3}-1,x\to 0\right]$
$-1-\frac{1}{2^{2/3}}+\frac{i}{2^{2/3} \sqrt{3}}+\sqrt{3}$

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.

4. Hmm, my book gives -1/6 as solution. Can you tell me how to reach to this solution.

Thanks and sorry for my language.

5. 0 is not in the domain of the expression you originally posted ... I recommend you recheck the problem.