12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-4

  • question_answer
    \[\underset{n\to \infty }{\mathop{\lim }}\,\left[ \frac{1}{1-{{n}^{4}}}+\frac{8}{1-{{n}^{4}}}+...+\frac{{{n}^{3}}}{1-{{n}^{4}}} \right]\]is

    A)  \[\frac{1}{4}\]            

    B)  \[-\frac{1}{4}\]         

    C)  \[\frac{1}{2}\]            

    D)  None of these

    Correct Answer: B


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