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For population growth with carrying capacity (logistic): dP/dt = rP(1 - P/K), the limiting value as t → ∞:
AK (carrying capacity)
BInfinity
C0
DP₀
Answer & Solution
Correct answer: A. K (carrying capacity)
Logistic equation has stable equilibrium at P = K (where dP/dt = 0). For 0 < P₀ < K: P grows toward K. P = 0 is unstable. Models bounded growth (ecology, epidemics, technology adoption).
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