Example 5

lim_n→∞ ln(n) = lim_n→∞ ln(x) = ∞.

If lim_n→0+ f(x) = L, then

lim_n→∞ f(1/n) = L.

If H is positive infinite, then £ = 1/H is infinitesimal and

f(1/H) = f(e) ≈ L.