imo class 12 definite integration

The value of lim(n→∞) Σ(r=1 to n) (r³/n⁴) is:

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The value of lim(n→∞) Σ(r=1 to n) (r³/n⁴) is:

  • A. 1/4
  • B. 1/2
  • C. 1/3
  • D. 1

Answer: A) 1/4

Explanation: lim(n→∞) (1/n) Σ (r/n)³ = ∫₀¹ x³ dx = 1/4.

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