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11th Class Mathematics Sample Paper Maths Olympiad Model Paper-5

  • question_answer
    If function f(x) is differentiable at \[x=a,\] then \[\underset{x\to a}{\mathop{\lim }}\,\,\,\frac{{{x}^{2}}\,f\,(a)-{{a}^{2}}\,f\,(x)}{x-a}\]

    A)  \[2a\,f(a)+{{a}^{2}}f'(a)\]       

    B)  \[-{{a}^{2}}f'(a)\]

    C)  \[af(a)-{{a}^{2}}f'(a)\]

    D)  \[2af(a)-{{a}^{2}}f'(a)\]

    E)  None of these

    Correct Answer: D

    Solution :

     Not Available


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