Question:medium
If \[ f(9) = 0 \quad \text{and} \quad f'(9) = 0, \] then \[ \lim_{x \to 9} \frac{\sqrt{f(x)} - 3}{\sqrt{x} - 3} \] is equal to:
If \[ f(9) = 0 \quad \text{and} \quad f'(9) = 0, \] then \[ \lim_{x \to 9} \frac{\sqrt{f(x)} - 3}{\sqrt{x} - 3} \] is equal to:
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L'Hôpital's Rule is the most efficient way to handle limits involving square roots and unknown functions, provided the functions are differentiable at the limit point.
Updated On: May 1, 2026
- \( 0 \)
- \( f(0) \)
- \( f'(3) \)
- \( f(9) \)
- \( 1 \)
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The Correct Option is A
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