23: If you tried to use the l'Hospital rule, you should get
![](gif4/eca4aw3a.gif)
Factoring the leading terms leads to
![](gif4/eca4aw3b.gif)
The first term tended to zero as a
geometric sequence
with |3/4| < 1. Now why do the two fractions in the big fraction tend to
zero? We know it from the
powers scale. If
somebody asked for a proof, it would be simple, just a standard application
of the l'Hospital rule (twice).
Answer