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

Calculus Level 3

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

Give your answer to 3 decimal places.

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

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