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KVPY Sample Paper KVPY Stream-SX Model Paper-21

  • 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 :

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


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