JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{x\to 0}{\mathop{\text{lim}}}\,\frac{{{x}^{3}}}{\sin {{x}^{2}}}=\] [AISSE 1984; AI CBSE 1984]

    A)                 0

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

    C)                 3

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

    Correct Answer: A

    Solution :

                    \[\underset{x\to 0}{\mathop{\lim }}\,\,\,\frac{{{x}^{2}}}{\sin {{x}^{2}}}.\underset{x\to 0}{\mathop{\lim }}\,\,x\,=0.\]


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