# $$\sqrt{ }$$s Can Ruin Your Lives!

Calculus Level 3

If $$f(1)=1$$ and $$f'(1)=2$$, find the closed form of $$\displaystyle \lim_{x \to 1} \frac{\sqrt{f(x)} - 1}{\sqrt{x} - 1}$$.

 Bonus: Evaluate this limit without applying L'Hôpital's Rule.