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JEE Main & Advanced Mathematics Differentiation Question Bank Numerical Value Type Questions - Limit

  • question_answer
    Evaluate: \[\underset{n\to \infty }{\mathop{\lim }}\,\left[ \frac{1}{{{n}^{3}}+1}+\frac{4}{{{n}^{3}}+1}+\frac{9}{{{n}^{3}}+1}+.....+\frac{{{n}^{2}}}{{{n}^{3}}+1} \right].\]  

    Answer:

    0.33


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