Find: .
Rewrite as:
,
now use L'hopital's rule:
,
...............=
...............=
RonL
Find
The first term in the limit clearly goes to , while the second
term is a well known limit equal to , so the limit as a whole is .
Opps didn't see the actual question:
Find
but the second term still has a finite limit and so the whle thing still goes to
(or is a different interpretation of the second term in the limit meant?)
RonL
Third go at the second question:
Find
which seems a plausible form for what might have been intended.
(the limit is 1/3 but I will need to do some work to produce what you would
think an acceptable explanation)
The limit is:
Take the series expasion of
So:
..............
RonL