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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

The value of _ n → ∞ ∑_ k=1 ^n ( (k)/(n^2 + n + 2k) ) =

The value of lim⁡n→∞∑k=1n(kn2+n+2k)=\lim_{n \to \infty} \sum_{k=1}^n \left( \frac{k}{n^2 + n + 2k} \right) =

Options

  1. A14\frac{1}{4}
  2. B13\frac{1}{3}
  3. C12\frac{1}{2}
  4. D1

Correct answer

C. 12\frac{1}{2}

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