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Question

Consider the following for the two items that follow: Let the function f(x) = x2 + 9

\[ \lim_{x \to 0} \frac{\sqrt{f(x)} - 3}{\sqrt{f(x) + 7} - 4} \]

This question was previously asked in
NDA 2 2025 GAT Question Paper (14-Sep-2025)
The correct answer is

2/3

Using limits and simplifying the expression, we get 2/3.

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Important Questions from Maxima and Minima

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  3. The minimum value of the expression max {$p^2 - 2p + 4, -p^2 + 2p - 4$} in the range $0 \le p \le 1$ is:
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