If _ x 1 x^2-ax+b (x-1) =5, then (a+b) is equal to

MHT CET 2022 Mathematics question

If , then is equal to

(A)
(B)
(C)
(D)Correct

Answer: (D)

Solution

The denominator tends to 0 and the limit is finite, so the numerator must vanish at : , i.e. . Then the limit is of the form ; by L'Hospital's rule it

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Question ID VK-097007