 
Summary: 52 MATHEMATICS MAGAZINE
Plausible and Genuine Extensions
of L'Hospital's Rule
J. MARSHALL ASH
DePaul University
Chicago, IL 60614
MASH@depaul.edu
ALLAN BERELE
DePaul University
Chicago, IL 60614
aberele@condor.depaul.edu
STEFAN CATOIU
DePaul University
Chicago, IL 60614
scatoiu@condor.depaul.edu
A plausible extension
Roughly speaking, L'Hospital's Rule says that if f (x)/g(x) is indeterminate at infinity
and if x is large, then f (x)/g(x) is approximately equal to f (x)/g (x). Also, the limit
comparison test says that if an is approximately equal to bn then an converges if and
only if bn converges. The best thing that one could possibly hope for in trying to
