I am trying to find the limit as x aproaches infinity to this expression:(adsbygoogle = window.adsbygoogle || []).push({});

sqrt(x)-sqrt(x^2 -1)

I am using the conjugate method by multiplying the expresion by [sqrt(x)-sqrt(x^2 -1)/sqrt(x)-sqrt(x^2 -1)], and then dividing each term by the highest degree in the denominator which is 1/2. I am coming up with the limit as 0/1, or simply zero. But my calculator is coming up with -infinity. What am I doing wrong?

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# Simple limit question.

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