type,
and since we know that exponentials beat powers at infinity
(see the box
"polynomials and ratios with
powers"), it should go to zero. This is good news, since then after we
subtract infinity we get a defnite answer to our limit.
16: The ratio is of the
type,
and since we know that exponentials beat powers at infinity
(see the box
"polynomials and ratios with
powers"), it should go to zero. This is good news, since then after we
subtract infinity we get a defnite answer to our limit.
Thus the first step is to confirm that the ratio goes to zero, the standard approach is using the l'Hospital rule.