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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Analyzing +4 | -1
Let f(x)f(x) be a polynomial satisfying (f(α))2+(f′(α))2=0(f(\alpha))^2+\left(f^{\prime}(\alpha)\right)^2=0. Then, lim⁡x→αf(x)f′(x)[f′(x)f(x)]\lim \limits_{{x \rightarrow \alpha}} \frac{f(x)}{f^{\prime}(x)}\left[\frac{f^{\prime}(x)}{f(x)}\right] is equal to (Here [.] denotes the greatest integer function)
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Correct option: B
1
Option B (1) is correct because after applying the given condition and simplifying the limit expression, it converges to 1.

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