Math Help - proof

1. proof

Hi,

I need to prove the next formula (attached file)
any hints ?

2. Originally Posted by WeeG
Hi,

I need to prove the next formula (attached file)
any hints ?
I don't think it's always true for all $x$. Try $x = 4$.

3. Originally Posted by WeeG
Hi,

I need to prove the next formula (attached file)
any hints ?
Well the statement is not true because the middle expression exceeds 3/2 whenever |x| > 3, but in general for this type of problem you can use limits.