If a differentiable function f(x) satisfies _ x -1 f(x)+1 x^2-1 =- 3 2 then what is _ x -1 f(x) equal to?

NDA 2021 Mathematics question

If a differentiable function satisfies

then what is equal to?

Answer: (B)

As the denominator . The limit of the quotient is finite , which is possible only if the numerator also tends to 0. Formally,

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Question ID VK-033583