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JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1
If f(a)=2,f′(a)=1,g(a)=−1,g′(a)=2f(a)=2, f^{\prime}(a)=1, g(a)=-1, g^{\prime}(a)=2, then the value of lim⁡x→ag(x)f(a)−g(a)f(x)x−a\lim \limits_{{x \rightarrow a}} \frac{g(x) f(a)-g(a) f(x)}{x-a} is
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Correct option: A
5
Option A (5) is correct because the limit can be evaluated by recognizing it as the derivative of a product and applying the given values.

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