JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{x\to 0}{\mathop{\lim }}\,\left( \frac{\tan 3x}{x}+\cos x \right)=\]

    A)                 3

    B)                 1

    C)                 4

    D)                 2

    Correct Answer: C

    Solution :

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


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