JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    If \[f(r)=\pi {{r}^{2}}\], then \[\underset{h\to 0}{\mathop{\lim }}\,\frac{f(r+h)-f(r)}{h}=\]

    A)                 \[\pi {{r}^{2}}\]

    B)                 \[2\pi r\]

    C)                 \[2\pi \]

    D)                 \[2\pi {{r}^{2}}\]

    Correct Answer: B

    Solution :

                    \[\frac{d}{dr}f(r)=2\pi r\].


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