Definite Integral as the limit of a sum

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lim (n→∞) (1/n) Σ[k=1 to n] (k/n) = ?
A
1/2
B
1
C
0
D
2/3
Analysis & Theory

This is ∫[0 to 1] x dx = [x²/2]₀¹ = 1/2.