Hi guys, im trying to figure out this problem:
the only step i can figure out is substituting for , resulting in:prove that:
for positive integers n and postive real numbers
It does not seem to be possible to give a direct proof of this result using induction on . However, it can be proved for for by induction on . The general result now follows by proving the converse of the usual inductive step: if the result holds for , where is a positive integer, then it holds for .
and then im stuck (after hours of fiddling with this inequality). i hope someone can help, thanks in advance