JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{x\to \pi /2}{\mathop{\lim }}\,\frac{2x-\pi }{\cos x}=\] [IIT 1973]

    A)                 2

    B)                 1

    C)                 ?2

    D)                 None of these

    Correct Answer: C

    Solution :

                       \[\underset{x\to \pi /2}{\mathop{\lim }}\,2\,\left[ \frac{x-\frac{\pi }{2}}{\sin \,\left( \frac{\pi }{2}-x \right)} \right]=-\,2\]                                 Aliter : Apply L-Hospital?s rule.


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