JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{x\to \pi /6}{\mathop{\lim }}\,\frac{{{\cot }^{2}}\theta -3}{\text{cosec}\theta -2}=\]

    A)                 2

    B)                 4

    C)                 6

    D)                 0

    Correct Answer: B

    Solution :

                    \[\underset{x\to \pi /6}{\mathop{\lim }}\,\,\frac{\cos e{{c}^{2}}\theta -4}{\cos ec\,\theta -2}=\underset{x\to \pi /6}{\mathop{\lim }}\,\,\cos ec\theta +2=4.\]


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