You need to prove that .
You can prove this by showing and .
Prove this by induction.
What you need to realize is that .
How many boards are you posting this on? I feel like I am chasing you around the internet! I explained this to you on "Physics Forums" but since you might confuse others:
You are NOT asked to prove that "this function is larger than its Taylor series". You are asked to prove that it is larger than its Taylor polynomial of degree n, for any n.
the remainder formula is
so i guess that for x>0 its:
should i prove it by induction??
if so then if n=1 then
but i dont know whats the value of c??
and still it depends on the values of x