
L'Hopital's Rule
I need to apply L'hopital's rule as x approaches infinity for the following:
(e^2x)/((x+5)^3)
which gives me:
(2e^2x)/((x+5)^3)  (3e^2x)/((x+5)^4)
and a second time gives me:
(4e^2x)/((x+5)^3)  (12e^2x)/((X+5)^4) + (12e^2x)/((X+5)^5)
I guess my question is, how do I know when to stop (i.e. when have I found the limit as x approaches infinity with L'Hopital's rule?)

Apply L'hôpital's Rule until you get something except the indeterminate form. You should also stop when you get or too.


Thank you Soroban!
Now I see what I was doing wrong. I was attempting to differentiate the entire equation rather than each part on its own.
Thank you again!