Tuesday, 9 July 2013

calculus - How to calculate the limit $lim_{xto + infty} frac{sqrt{x^2+4}}{x}$?

So I have another question on limits. In this case the limit is:




$$\lim_{x\to + \infty} \frac{\sqrt{x^2+4}}{x}$$



I tried to transform it into
$$
\lim_{x\to + \infty} \frac{x^2+4}{x^2}
$$
because I wanted to solve it by factoring but I checked the graph of both and they are different..



I'm stuck here cause my idea doesn't work and I don't know how to solve it!

Could someone be so kind to help me? Thank you in advance! :)

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