JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin 3x+\sin x}{x}\] = [AISSE 1986]

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

    B)                 3

    C)                 4

    D)                 \[\frac{1}{4}\]

    Correct Answer: C

    Solution :

                    \[\underset{x\to 0}{\mathop{\lim }}\,\,3.\frac{\sin \,3x}{3x}+\underset{x\to 0}{\mathop{\lim }}\,\,\frac{\sin \,x}{x}=3+1=4.\]


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