To take the limit as p goes to 0, divide both numerator and denominator by thesmallestpower of p.

Here, that gives . Because a- p is positive, as p goes to 0, p^{a- b} goes to 0.

To take the limit a p goes to infinity, divide both numerator and denominator by thelargestpower of p.

Here, that gives . Because b- a is negative, as p goes to infinity, [tex]p^{b- a} goes to 0.