Put , then expand about zero, and then make the substitution into that series.This is actually a problem from a subject thats mainly involved with Laplace transforms.
it starts off with expanding f(s) = around infinity (by taylor series)
so firstly, evaluating at s = infinity, which tends towards log (1 + 0 ) = 0
then the next term of the taylor series involves f ' (s) evaluated at infinity
f '' (s) =
now for evaluating this one at infinity directly would yield inf / inf = 1 ?
but i know (of) l'Hopital's rule
which i tried
so lim s -> inf of
= lim s -> inf of
here i derived both top and bottom of the fraction (seperately) with respect to s
long story short, if you use l'hopitals rule for the following terms as well, you get 0 for every term in the taylor series, which im assuming isnt right.
am i using l'hopitals correctly? any other help?
also any tips on using the Math-notation available here? :P