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Plausible and genuine extensions of L'Hospital's Rule J. Marshall Ash1
 

Summary: Plausible and genuine extensions of L'Hospital's Rule
J. Marshall Ash1
DePaul University
Chicago, IL 60614
Allan Berele2
DePaul University
Chicago, IL 60614
Stefan Catoiu
DePaul University
Chicago, IL 60614
1 A plausible extension
Roughly speaking, L'Hospital's Rule says that if f(x)=g(x) is indeterminate and if
x is large, then f(x)=g(x) is approximately equal to f0(x)=g0(x). Also, the limit
comparison test says that if an is approximately equal to bn then
P
an converges if
and only if
P
bn converges. Combining these two imprecisely stated theorems, we
would like to predict the convergence of

  

Source: Ash, J. Marshall - Department of Mathematical Sciences, DePaul University

 

Collections: Mathematics