1. ## Limits

$\lim_ {x\rightarrow 0}\frac{\sqrt{x^4+1} - 2x^2-1}{x^2}$ How Can i Get the limit Value?

2. ## 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'Hôpital's rule to get:

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

Can you proceed?