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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

Let L = _ n → ∞ ( ((2 · 1+n))/(1^2+n · 1+n^2) + ((2 · 2+n))/(2^2+n...

Let L=lim⁡n→∞((2⋅1+n)12+n⋅1+n2+(2⋅2+n)22+n⋅2+n2+(2⋅3+n)32+n⋅3+n2+⋯+(2⋅n+n)3n2)thenvalueofL = \lim_{n \to \infty} \left( \frac{(2 \cdot 1+n)}{1^2+n \cdot 1+n^2} + \frac{(2 \cdot 2+n)}{2^2+n \cdot 2+n^2} + \frac{(2 \cdot 3+n)}{3^2+n \cdot 3+n^2} + \dots + \frac{(2 \cdot n+n)}{3n^2} \right) then value ofe^L is :

Options

  1. A2
  2. B3
  3. C4
  4. D32\frac{3}{2}

Correct answer

B. 3

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