JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    The value of \[\underset{\theta \to 0}{\mathop{\lim }}\,\left( \frac{\sin \frac{\theta }{4}}{\theta } \right)\] is                                     [MP PET 1993]

    A)                 0

    B)                 1/4

    C)                 1

    D)                 Not in existence

    Correct Answer: B

    Solution :

                    \[\underset{\theta \to 0}{\mathop{\lim }}\,\frac{\sin \frac{\theta }{4}}{\theta }=\underset{\theta \to 0}{\mathop{\lim }}\,\frac{1}{4}.\frac{\sin \frac{\theta }{4}}{(\theta /4)}=\frac{1}{4}.\]


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