JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{x\to 1}{\mathop{\lim }}\,\frac{x-1}{2{{x}^{2}}-7x+5}=\] [IIT 1976]

    A)                 1/3

    B)                 1/11

    C)                 ?1/3

    D)                 None of these

    Correct Answer: C

    Solution :

                       \[\underset{x\to 1}{\mathop{\lim }}\,\,\,\frac{x-1}{(x-1)\,(2x-5)}=-\frac{1}{3}\].                 Aliter : Apply L-Hospital?s rule.


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