The value of lim(n→∞) Σ(r=1 to n) (n/(n² + r²)) is:

The value of lim(n→∞) Σ(r=1 to n) (n/(n² + r²)) is:

• A. π/2
• B. π/4
• C. π
• D. 2/π

Answer: B) π/4

Explanation: Write as lim(n→∞) (1/n) Σ (1/(1 + (r/n)²)) = ∫₀¹ dx/(1 + x²) = [tan⁻¹ x]₀¹ = π/4.