lim(x-->∞) (1 + a/x)^(bx)
= lim(x-->∞) (1 + a/x)^(x/a · ab) ∞) (1 + k/x)^(x/k) = e^k
= e^lim(x-->∞) ab
= e^(ab) lim(x-->∞) (1 + a/x)^(bx)
= lim(x-->∞) (1 + a/x)^(x/a · ab) ∞) (1 + k/x)^(x/k) = e^k
= e^lim(x-->∞) ab
= e^(ab)