JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{x\to \infty }{\mathop{\lim }}\,\frac{{{(2x+1)}^{40}}{{(4x-1)}^{5}}}{{{(2x+3)}^{45}}}=\] [IIT 1990]

    A)                 16

    B)                 24

    C)                 32

    D)                 8

    Correct Answer: C

    Solution :

                    \[\underset{n\to \infty }{\mathop{\lim }}\,\,\left[ \frac{1}{1-{{n}^{2}}}+\frac{2}{1-{{n}^{2}}}+.....+\frac{n}{1-{{n}^{2}}} \right]\]


You need to login to perform this action.
You will be redirected in 3 sec spinner