Math Help - limit question

1. limit question

how would you tackle this question?

2. Re: limit question

Originally Posted by kingsolomonsgrave

how would you tackle this question?

$\sqrt{x^2+1}-{x}=\frac{1}{\sqrt{x^2+1}+{x}}$.

3. Re: limit question

I see, so first rationalize the expression and then divide by the highest power in the denominator giving $\frac{1}{2}$

4. Re: limit question

Originally Posted by kingsolomonsgrave
I see, so first rationalize the expression and then divide by the highest power in the denominator giving $\frac{1}{2}$