JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin ax}{\sin bx}=\]

    A)                 \[a/b\]

    B)                 \[b/a\]

    C)                 1

    D)                 None of these

    Correct Answer: A

    Solution :

                    \[\underset{x\to 0}{\mathop{\lim }}\,\,\,\frac{\sin ax}{\sin bx}=\underset{x\to 0}{\mathop{\lim }}\,\,\,\frac{a}{b}\frac{\sin ax}{ax}\frac{bx}{\sin bx}=\frac{a}{b}\].


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