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e = limit of (1+1/n)^n · continuous compounding · area = e^(rt) · runs locally

rate %10%years10
e = lim(n→∞) (1+1/n)^n = 2.71828... · appears when growth rate ∝ current value · (1+r/n)^(n×t) → e^(rt) · 10% for 10yr: ×2.707 vs continuous ×2.718
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