JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{\theta \to 0}{\mathop{\lim }}\,\frac{5\theta \cos \theta -2\sin \theta }{3\theta +\tan \theta }=\] [AI CBSE 1988]

    A)                 \[\frac{3}{4}\]

    B)                 \[-\frac{3}{4}\]

    C)                 0

    D)                 None of these

    Correct Answer: A

    Solution :

                    \[L\,{g}'(0)=\underset{h\to 0}{\mathop{\lim }}\,\,\,\frac{f(0-h)-f(0)}{0-h}\]


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