If f(a) = 2, f'(a) = 1, g(a) = -1, g'(a) = 2, then as x approaches a, g(x)f(a) - g(a)f(x) (x-a) approaches

MHT CET 2023 Mathematics question

Mathematics Methods of Differentiations MHT CET 2023

If , then as x approaches a, approaches

(A)3
(B)5Correct
(C)0
(D)2

Answer: (B)

Solution

At the numerator is and the denominator is , so the limit is of the form . Apply L'Hôpital's rule (differentiate with respect to ): the limit equals $_{x→

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Question ID VK-098230