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Math Help - help me in this limit

  1. #1
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    help me in this limit

    limitation of square root (x^2+3x+4/x^3+1) as x approaches -1.

    i don't know how to get the rationalize of 1/square root of (X^3 +1)

    thanks
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  2. #2
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    Quote Originally Posted by cutiemike1 View Post
    limitation of square root (x^2+3x+4/x^3+1) as x approaches -1.

    i don't know how to get the rationalize of 1/square root of (X^3 +1)

    thanks
    If you mean \sqrt{\frac{x^2+3x+4}{x^3+1}, then the limit is equal to +oo since the denominator --> 0+ and the numerator is positive. Further, if this is what you meant, then it should be written as the limit as x --> -1 from the right.

    If you didn't mean that, then I suggest you post in a much less ambiguous format and, perhaps, re-check the question.
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    If you mean \sqrt{\frac{x^2+3x+4}{x^3+1}, then the limit is equal to +oo since the denominator --> 0+ and the numerator is positive. Further, if this is what you meant, then it should be written as the limit as x --> -1 from the right.

    If you didn't mean that, then I suggest you post in a much less ambiguous format and, perhaps, re-check the question.
    \sqrt{\frac{x^2+3x+4}{x^3+1}

    yup! you're right, that is what i meant..
    i tried doing this, separating the square root of both numerator and denominator, then apply rationalize, and my problem is i don't know how to get the rational of \frac{1}{\sqrt{x^3+1}}....
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  4. #4
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    Quote Originally Posted by cutiemike1 View Post
    \sqrt{\frac{x^2+3x+4}{x^3+1}

    yup! you're right, that is what i meant..
    i tried doing this, separating the square root of both numerator and denominator, then apply rationalize, and my problem is i don't know how to get the rational of \frac{1}{\sqrt{x^3+1}}....
    Why do that? My earlier post shows you the way.
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