7.5.3 Indeterminate forms 0 · Part 3

this limit, we apply L’Hôpital’s Rule. Then, we have lim →∞ = lim →∞ = lim →∞ = . Example . Evaluate : lim N →∞ This is an indeterminate of the form ∞ ∞   .

To evaluate this limit, we apply L’Hôpital’s Rule m times. Thus, we have lim →∞ = lim ! x e →∞ = ¥ .