Thread: 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.

Using Wolfram Mathematica:

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.