1. ## Limit

Hey guys.

Can I please have some help with this limit over here

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Thanks a lot.

2. ## Re: Limit

BTW

I cant use l'Hôpital's rule.

I'm trying to help someone how haven't learned how to Derivative yet.

Thanks a lot.

3. ## Re: Limit

Originally Posted by asi123
BTW

I cant use l'Hôpital's rule.

I'm trying to help someone how haven't learned how to Derivative yet.

Thanks a lot.
You should start by rationalising the numerator, then dividing top and bottom by the highest power of x.

4. ## Re: Limit

Well, This is what I got.

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I cant put zero into that, it doesn't give me much, right?

Thanks a lot.

5. ## Re: Limit

Originally Posted by asi123
Hey guys.

Can I please have some help with this limit over here

ImageShack&#174; - Online Photo and Video Hosting

Thanks a lot.
$\lim_{x \to \0}\frac{\sqrt{x^2+1}-1}{\sqrt{x^2+16}-4} \cdot \frac{(\sqrt{x^2+1}+1)(\sqrt{x^2+16}+4)}{(\sqrt{x^ 2+1}+1)(\sqrt{x^2+16}+4)}=$

$=\lim_{x \to \0}\frac{x^2 \cdot (\sqrt{x^2+16}+4)}{x^2 \cdot (\sqrt{x^2+1}+1)}$

6. ## Re: Limit

Thanks a lot.