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Math Help - Limits

  1. #1
    Member srirahulan's Avatar
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    Post Limits

    \lim_ {x\rightarrow 0}\frac{\sqrt{x^4+1} - 2x^2-1}{x^2} How Can i Get the limit Value?
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Limits

    L=\lim_{x\to0}\frac{\sqrt{x^4+1}-2x^2-1}{x^2}

    Since we have the indeterminate form 0/0, we may apply L'H˘pital's rule to get:

    L=\lim_{x\to0}\frac{\frac{4x^3}{2\sqrt{x^4+1}}-4x}{2x}

    Can you proceed?
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