To compare them, right both in terms of only.
Since , for all n, so .
so that
Now compare those.
Define a sequence, and
Prove that
Proof by induction
When n=1, it is true
Assume true for n=k
Test n=k+1
By hypothesis, this is true for the numerators, now testing the denominators
if
it is always true
Simplifying
However, this is not always true.
Now I need help. I am unsure how to proceed, or any of the preceding steps are wrong and I need to find a new method t solve the problem.
All help greatly appreciated