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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Using Wolfram Mathematica: $\displaystyle \text{Limit}\left[\left(3*\sqrt{2x-1}-\sqrt[3]{3x-2}\right)/\sqrt{4x-3}-1,x\to 0\right]$ $\displaystyle -1-\frac{1}{2^{2/3}}+\frac{i}{2^{2/3} \sqrt{3}}+\sqrt{3}$
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.
Hmm, my book gives -1/6 as solution. Can you tell me how to reach to this solution. Thanks and sorry for my language.
0 is not in the domain of the expression you originally posted ... I recommend you recheck the problem.
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