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The task: $\lim_{x\to\infty} \sqrt{x^2+1} -x $

I've multiplied with the conjugate expression ($\sqrt{x^2+1} +x$), then I get this

$\lim_{x\to\infty} \frac{1}{\sqrt{x^2+1} +x} $

Is this correct so far? And what would be the next step?

6 Answers 6