Mathematics · 2021
JEE Main · 3 August 2021, Shift 1 · Q89
If f(x) be a differentiable function such that f(9)=9 and f^′(9)=4, then lim_x → 9 (√(f(x))-3)/(√ x -3) is \ \ \ \.
If $\displaystyle f(x)$ be a differentiable function such that $\displaystyle f(9)=9$ and $\displaystyle f^{\prime}(9)=4$, then $\displaystyle \lim _{x \rightarrow 9} \frac{\sqrt{f(x)}-3}{\sqrt{x}-3}$ is \_\_\_\_.
Official answer
4
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.