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JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1
If f(9)=9,f′(9)=4f(9)=9, f^{\prime}(9)=4, then lim⁡x→9f(x)−3x−3=\lim \limits_{{x \rightarrow 9}} \frac{\sqrt{f(x)-3}}{\sqrt{x}-3}=
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Correct option: B
4
Option B (4) is correct because applying L'Hopital's rule and using the given values of f(9)f(9) and f′(9)f'(9) yields the limit as 4.

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