Hi, I've been scratching my brain trying to figure out this problem.
Show by using the definition that the following sequence is cauchy
for n belonging to naturals.
I'm fairly new at Latex so I'm going to skip trying to re type all my steps with it but basically i have
Here's where I get a little stuck. I know that my goal is to find a bound for this which will be less than
for some N. I used a calculator and it appeared that a bound was
. But I know i just can't claim something is a bound by basis of calculator values, so I need some desperate help on trying to find a bound for this thing. thanks in advance
EDIT:
I just read that
if this is in fact true does anyone know where I can find the proof of this?