If `f(1)=1,f^(prime)(1)=2,` then write the value of `lim_(x->1)(sqrt(f(x))-1)/(sqrt(x)-1)`

Explanation

To solve the limit problem \( \lim_{x \to 1} \frac{\sqrt{f(x)} - 1}{\sqrt{x} - 1} \), given that \( f(1) = 1 \) and \( f'(1) = 2 \), we can follow these steps:

### Step 1: Recognize the limit form
The limit as \( x \to 1 \) results in the indeterminate form \( \frac{0}{0} \) since both the numerator and denominator approach 0. Therefore, we can apply L'Hôpital's Rule or manipulate the expression.

**Hint:** Check if the limit results in an indeterminate form.

### Step 2: Rationalize the numerator
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