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Question

limxa(3xa)(x+a)xa =


A

2a

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B
12a
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C

2a

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D

12a

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Solution

The correct option is B 12a

limxa(3xa)(x+a)xa = limx(3xa)(x+a)xa × (3xa)+(x+a)(3xa)+(x+a)) = 22(2a) = 1(2a)
Aliter:- Apply L-Hospital's rule

limxa(3xa)(x+a)xa = limx 32(3xa) - 12(x+a) = 32(2a) - 1(22a) = 1(2a)


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