KVPY Sample Paper KVPY Stream-SX Model Paper-4

  • question_answer
    y = f(x) is a continuous function such that its graph passes through (a, 0). Then \[\underset{x\to a}{\mathop{\text{Limit}}}\,\,\,\frac{{{\log }_{e}}(1+3f(x))}{2f(x)}\] is-

    A) 1                                 

    B) 0   

    C) 3/2                   

    D) 2/3

    Correct Answer: C

    Solution :

    [C] \[\underset{x\to 0}{\mathop{\text{lim}}}\,\frac{{{\log }_{e}}(1+3f(x))}{2f(x)}=\frac{3}{2}\]

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