JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{x\to 0}{\mathop{\lim }}\,\frac{1-\cos x}{x}=\] [AI CBSE 1987; AISSE 1987]

    A)                 0

    B)                 \[\frac{1}{2}\]

    C)                 \[\frac{1}{3}\]

    D)                 None of these

    Correct Answer: A

    Solution :

                       \[\underset{x\to 0}{\mathop{\lim }}\,\,\frac{2\,{{\sin }^{2}}(x/2)}{x}=0.\]                 Aliter : Apply L-Hospital?s rule.


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