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JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{x}^{2}}-\tan 2x}{\tan x}=\]                                               [AI CBSE 1990]

    A)                 2

    B)                 ?2

    C)                 0

    D)                 None of these

    Correct Answer: B

    Solution :

                    \[\underset{x\to 0}{\mathop{\lim }}\,\,\frac{x\,\left( x-\frac{2\,\,\tan \,\,2x}{2x} \right)}{\tan x}=-2.\]


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